Talks-Masoud Khalkhali

2015:

Quillen's metric and the determinant line bundle in noncommutative geometry (Number theory seminar, Johns Hopkins University, Feb. 2015). Pdf file .
Minicourse at Fields Institute Workshop on the Geometry of Noncommutative Manifolds, Toronto, March 2015. Lecture 1, Lecture 2, Lecture 3. Click here to see all three lectures on video.
Regularizing divergent products, Undergraduate Pizza Seminar, pdf UWO, April 2015.
Remarks on spectral action principle. Numcommutative geometry workshop, UWO

2014:

Curvature of the determinant line bundle in noncommutative geometry. (Colloquium, Nijmegen, Holland, Dec 2014). Pdf file .
Curvature of the determinant line bundle for noncommutative tori (Hausdorff Institute, Bonn, Germany). Pdf file . Click here to see the lecture on video.
Rationality of spectral action for Robertson-Walker metrics (Hausdorff Institute, Bonn, Germany). Pdf file . Click here to see the lecture on video.
The Music of Quantum Spheres. (Fields Institute Undergraduate Summer Research Program Presentation, May 2014, Toronto). Pdf file . Click here to see my students' presentation in the final conference.
Introduction to noncommutative geometry (4 lectures. Hausdorff Institute Summer School, Bonn, Germany). Click here, here, and here to see the lectures on video (the first lecture was not recorded).
Scalar Curvature, Gauss-Bonnet Theorem and Einstein-Hilbert Action for Noncommutative Tori. Perimeter Institute, Waterloo, Ontario. Pdf file . Click here to see the lecture on video.
On the spectral action principle for Robertson–Walker metrics (Noncommutative Geometry Festival, in honor of Henri Moscovici, Texas A&M). . Pdf file .
The Spectral Geometry of Curved Noncommutative Tori. (Canadian operator algebra symposium, Fields Institute, July 2014). Pdf file .
Spectral zeta functions in noncommutative geometry (Banach center conference: From Poisson brackets to universal quantum symmetries. Warsaw, Poland, August 2014). Pdf file .

2013:

A noncommutative view of zeta regularized determinants and analytic torsion. (Colloquium, Math department, MacMaster University, Nov 2013.) Pdf file .
The spectral point of view in geometry (Colloquium, department of mathematics, university of Windsor, Feb 2013). Pdf file .
Scalar curvature, Einstein-Hilbert action, and Connes’ trace theorem for noncommutative 4-tori (Oberwolfch meeting on noncommutative geometry, Sept 2013) Pdf file .
First steps in quantum computing (Pizza Seminar talk, UWO, April 2013.) Pdf file .
Spectral zeta functios and scalar curvature for noncommutative 4-tori (Texas A&M meeting on functional analysis). Pdf file .
Scalar curvature and local spectral invariants in noncommutative geometry. (Fields Institute, Toronto, June 17-21. Invited to give a series of 4 lectures in the con- ference ‘Noncommutative Geometry and Quantum Groups). Pdf file .
Spectral zeta functions, scalar curvature and Einstein- Hilbert action for noncommutative 4-tori. (Institute for advanced studies in physics and mathematics, Two-day Meeting on NCG & Physics, School of Physics, IPM, Tehran, May 8- 9, 2013). Pdf file .
The determinant of Cauchy-Riemann operators in noncommutative geometry (Institute for advanced studies in physics and mathematics, School of Mathematics, IPM, Tehran, May 7, 2013). Pdf file .
The determinant line bundle and Quillen metric in noncommutative geometry (Talk in Banff Research Station meeting on Operator algebras and dynamical systems from number theory, Nov 2013). Pdf file .

2012:

Spectral aspects of noncommutatve geometry. (Sharif University of Technology Conference in honor of Siavash Shahshahani: Frontiers of Mathematics, Dec 25-27, 2012, Tehran) Pdf file .

Spectral zeta functions and scalar curvature for noncommutative two tori. (Sharif University of Technology Conference: Frontiers of Mathematics, Dec 25-27, 2012, Tehran). Pdf file .

Curvature in noncommutative geometry. (Institute for advanced studies in physics and mathemat ics, one day meeting on Noncommutative Geometry and Physics, Dec 23, Tehran). Pdf file .

Scalar Curvature for the Noncommutative Two Torus. (Ohio State Conference on Noncommutative Geometry: Multiple Connections. May 7-18, 2012). Pdf file .

Spectral Zeta Functions and Scalar Curvature for Noncommutative Tori. (Canadian Operator Symposium, Kingston Ontario, May 21 - 25, 2012). Pdf file .

Weyl's Law at 101. (Colloquium, UWO Math dept. 2012). Pdf file .

2011:

Invited talk: CMS winter meeting,Toronto, December 2011; Scalar Curvature for the Noncommutative Two Torus I.
Invited minicourse (3 lectures, joint with F. Fathizadeh), Toronto, December 2011; Spectral invariants and noncommutative geometry.
Algebra seminar, UWO, September 2011; Curvature in noncommutative geometry.
Invited talk, Oberwolfach meeting on Noncommutative Geometry, Oberwolfach, Germany, September 2011. Computing the modular curvature of the noncommutative two torus Pdf file
Invited talk, Noncommutative Geometry Days in Istanbul, Istanbul, Turkey, July 2011; Spectral invariants of noncommutative geometry. Pdf file
Plenary speaker: Annual Canadian Operator Algebra Symppsium, University of Victoria, Canada, May 2011; Spectral zeta functions and Gauss-Bonnet type theorems in noncommutative geometry. Pdf file
Invited talk: The 10th Annual Noncommutative Geometry and Operator Algebra Spring Institute, Vanderbilt University, USA, May 2011; Spectral zeta functions and Gauss-Bonnet type theorems in noncommutative geometry. Pdf file .
Colloquium: Department of Mathematics, University of Waterloo, Feb. 2011; Spectral zeta functions and Gauss-Bonnet type theorems in noncommutative geometry.
Invited talk: Operator Algebra Seminar, University of Toronto, January 2011; Gauss-Bonnet theorem in noncommutative geometry.

2010:

Invited lecture series (6 lectures): Feza Gursey Institute, Istanbul, Turkey, Decemebr 2010; Metric Aspects of Noncommutative Geometry. Lecture 6 Pdf file
Invited talk: Geometry and Physics VIII, Scalea, Italy, September 13-17, 2010; The Gauss-Bonnet theorem for the noncommutative torus.
Invited graduate course: AARMS Summer School, Fredericton, NB, Canada, July 11-August 7, 2010; Introduction to Noncommutative Geometry.
Invited lecture series (3 lectures): Noncommutative geometry days in Istanbul, Istanbul, Turkey, June 25-27, 2010; Noncommutative Geometry.
Colloquium : IPM, Tehran, May 2010; The Nature of Space in Noncommutative Geometry. Pdf file .
Invited lecture series (4 lectures): IPM, Tehran, May 2010; The Gauss-Bonnet Theorem for the Noncommutative Two Tori.
Invited talk (delivered by my student F. Fathizadeh): CMS Summer Meeting, Fredericton, Canada, June 4-6, 2010: The Gauss-Bonnet theorem for the noncommutative torus. Pdf
Invited talk: Noncommutative Geometry and Applications to Number Theory, The Ohio State University, April 12-16, 2010; The Gauss-Bonnet theorem for the noncommutative torus. Pdf file .
Invited talk: Analysis Seminar, University of Waterloo, January 2010; Complex geometry of the quantum projective line. Pdf file

2009:

Colloquium: York University, Toronto, October 19, 2009; Complex Structures in Noncommutative Geometry.
Invited talk: Noncommutative Geometry in Representation Theory and Integrable Systems, Trieste, Italy, July 2009; Complex structures on the quantum projective line.
Invited talk: Conference on Noncommutative Geometric Methods in Global Analysis (in honor of Henri Moscovici's 65 the birthday), Hausdorff Institute, Bonn, Germany, June 2009: Complex structures on the quantum projective line.
Invited lecture series (4 lectures): The second school and conference on noncommutative geometry, IPM, Tehran, April 2009: Topological and Metric Aspects of Noncommutative Geometry.
Invited talk: Noncommutative Geometry, Arithmetic and Related Topics (JAMI 2009), Johns Hopkins University, March 2009; Holomorphic structures on the quantum projective line. Pdf file .
Invited lecture series: Johns Hopkins University, Department of Mathematics (JAMI program 2008-2009), March 2009; Minicourse on noncommutative geometry.

2008:

Invited talk: CMS Winter Meeting 2008, Ottawa, Canada, Dec. 2008; The algebra of formal twisted pseudodifferential symbols and a noncommutative residue.
Invited talk: Analysis Seminar, SUNY (Buffalo), Oct. 2008; Formal twisted pseudodifferential symbols and a noncommutative residue.
Invited talk: American Mathematical Society Sectional Meeting, Special Session on Noncommutative Geometry, Vancouver, Canada, Oct. 2008; Formal twisted pseudodifferential symbols and a noncommutative residue.
Invited talk: Conference on Noncommutative Geometry, Trimester Program on Geometry and Physics, July 27-August 7, 2008, Hausdorff Research Institute for Mathematics, Bonn, Germany; The algebra of formal twisted pseudodifferential symbols and a noncommutative residue.
Invited lecture series (5 Lectures): Hausdorff Research Institute for Mathematics, June and July 2008; Bonn, Germany; Introduction to noncommutative geometry.

2007:

Invited lecture series (3 lectures) : Max Planck Institute Meeting on Hochschild and cyclic cohomology, Bonn, July 2007; Lectures on Hopf cyclic cohomology.
Invited lecture series (5 lectures): IPM, Tehran, August 2007; Lectures on Noncommutative geometry.
Invited lecture series (5 lectures): International School and Conference of Noncommutative Geometry, Chern Institute of Mathematics, Nankai University, Tianjin, China, August 15-30, 2007; Local index formula.
Invited talk: Conference in honor of Alain Connes' 60th Birthday, Paris, March 29-April 6, 2007; Hopf cyclic cohomology-some new ideas and a tribute to Alain.
Invited talk (5 lectures): The Fifth Annual Spring Institute on Noncommutative Geometry and Operator Algebras, May 2007; Lectures on Hopf cyclic cohomology and noncommutative geometry.

2006:

Invited talk: Newton Institute Workshop, July 31-August 4, 2006; Noncommutative geometry and cyclic cohomology.
Invited lecture series (12 lectures): IPM, August 12-17, 2006; Lectures on cyclic cohomology.
Invited talk: Isaac Newton Institute for Mathematical Sciences, University of Cambridge, England, December 15, 2006; Hopf cyclic cohomology: why and how.

2005:

Invited lecture series (4 lectures): International Workshop on Noncommutative Geometry, IPM, Tehran, Iran, September 11-22, 2005; Introduction to Alain Connes' book on noncommutative geometry.
Invited talk: International Workshop on Noncommutative Geometry, IPM, Tehran, September 11-22, 2005; Excision in Hopf cyclic cohomology.
Colloquium: UWO, February 2005; Quantum field theory, renormalization and noncommutative geometry.
Invited lecture series (4 lectures): UWO Motives Seminar, February-March, 2005; Hodge theory for Riemannian manifold.
Invited talk: Carleton Functional Analysis 2005 days, quantum methods in modern analysis, Carleton University, Ottawa, April 2005; Locally compact quantum groups, noncommutative geometry and cyclic cohomology.
Invited talk: Penn State University, Pennsylvania, Conference in honor of Jerry Kaminker, May 2005; The ubiquity of Hopf algebras in noncommutative geometry.

2004:

Invited talk: Noncommutative Geometry and K-Theory Conference, Institut Henri Poincare, Paris, France, July 2004; Yetter-Drinfeld modules and Hopf-cyclic cohomology.
Invited talk: Fields Institute Conference on Noncommutative Geometry, the Local Index Formula and Hopf Algebras, Toronto, Ontario, September 2004. Renormalization and motivic Galois theory (after Connes and Marcolli).
Invited talk: , Noncommutative Geometry Conference, Mathematisches Forschung Institute, Oberwolfach, Germany, September 12-18, 2004; Cup products in Hopf cyclic cohomology and Connes-Moscovici characteristic map.
Invited talk: Geometry and Topology Seminar, Department of Mathematics, University of Waterloo, Waterloo, Ontario, March 2004; Noncommutative geometry and transverse symmetries.
Invited talk: Fields Institute Seminar on Arithmetic and Geometry of Higher Dimensional Varieties with Special Emphasis on Calabi-Yau Varieties and Mirror Symmetry, March 27-28, 2004; Fourier-Mukai transform and holomorphic noncommutative geometry.
Invited lecture series (6 lectures): IPM, Tehran, Iran, April 2004; Hopf algebras and noncommutative geometry.
Invited talk: , Sharif University, Tehran, Iran, April 2004. From Hopf bundle to noncommutative geometry.
Invited talk: University of Tehran, April 2004; Introduction to noncommutative geometry.
Invited minicourse (4 lectures): Vanderbilt School and Conference on Noncommutative Geometry, Vanderbilt University, Nashville, Tennessee, May 2004; Hopf algebras and cyclic cohomology.
Invited minicourse (2 lectures): School and Conference on Noncommutative Geometry and its Applications to Physics, CIRM, Marseille, France, February 2004; Hopf-cyclic cohomology and quantum groupoids.
Invited talk: Fields Institute Weekend Meeting on Operator Algebras, March 2004; From transverse index theory to Hopf-cyclic cohomology via the local index formula.

2003:

Invited talk: Noncommutative Geometry and Number Theory Conference, Max Planck Institute, Bonn, Germany, August 18, 2003; Hopf-cyclic cohomology with coefficients.
Invited talk: Operator Algebra Seminar, University of Muenster, Muenster, Germany, August 27, 2003 ; Two perspectives on cyclic cohomology of Hopf algebras.
Invited talk: American Mathematical Society Meeting, Boulder, Colorado, October 2003; On the cyclic cohomology of extended Hopf algebras.
Invited talk: American Mathematical Society Meeting, Boulder, Colorado, October 2003; Cyclic cohomology of Hopf algebras with coefficients.
Invited talk: Analysis Seminar, Mathematics Department, Laval University, Quebec City, November 2003; Fibre bundles, Hopf algebroids, and noncommutative geometry.
Invited talk: Colloquium, Department of Mathematics, University of South Florida, Tampa, Florida, February 2003; Noncommutative geometry: old and new.
Invited talk: Conference on Arithmetic and Geometry of Higher Dimensional Varieties with Emphasis on Calabi-Yau Varieties and Mirror Symmetry, Fields Institute, Toronto, Ontario, March 2003; An introduction to noncommutative geometry.
Invited talk: Vanderbilt Spring School on Noncommutative Geometry, Vanderbilt University, Nashville, Tennessee, May 12, 2003; Hopf-cyclic homology and cohomology with coefficients
Invited talk: Workshop on Alternative Approaches to Baum-Connes Conjectures, Banff International Research Station, Banff, Alberta, May 24-29, 2003; Two lectures on deformation quantization.

2002:

Invited talk: Sharif University, Tehran, Iran, July 2002; Introduction to invariant cyclic homology.
Invited talk: Trieste, Italy, July 2002; Invariant cyclic homology, talk based on joint paper (delivered by my student B. Rangipour)
Invited talk: Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories, Fields Institute, Toronto, Ontario, September 23-28, 2002; Cyclic homology of Hopf algebroids.
Invited talk: Colloquium, Department of Mathematics, Queens University, Kingston, Ontario November 2002; Noncommutative geometry and quantum symmetry.
Invited talk: Canadian Mathematical Society Annual Meeting (Operator Algebra Session), Ottawa, Ontario, December 2002; Invariant cyclic homology.

2001:

Invited Lecture series (10 Lecture): Fields Institute, Toronto, Ontario, Fall 2001; Ten lectures on noncommutative geometry.
Invited talk: Department of Physics, The University of Western Ontario, March 2001; Mathematics and physics of the Bohm-Aharonov effect.
Invited talk: talk for undergraduate physics students, The University of Western Ontario, Spring 2001; Mathematics and physics of perturbation theory.

2000:

Invited talk: American Mathematical Society Meeting (Session in Operator Theory and Operator Algebras), Toronto, September 2000; Differential forms on quantum groups and cyclic cohomology of Hopf algebras.
Invited talk: American Mathematical Society Meeting (Session in Noncommutative Geometry), Toronto, September 2000; A new complex for cyclic cohomology of Hopf algebras.
Invited talk: Analysis Seminar, Mathematics Department, University of Saskatoon, November 2000; Cyclic cohomology of quantum groups.
Invited talk: Colloquium talk, Mathematics Department, University of Saskatoon, November 2000; Noncommutative geometry and Hopf algebras.
Invited talk: Undergraduate Seminar, Department of Mathematics, The University of Western Ontario, March 2001; Noncommutative geometry lite.
Invited talk (delivered by my collaborator R. Akbarpour): Canadian Operator Symposium, Toronto, June 2000; A K \"{u}nneth formula for cyclic homology of Hopf algebras.
Invited talk (delivered by my collaborator B. Rangipour): Canadian Operator Symposium, Toronto, June 2000; A generalized cyclic Eilenberg-Zilber theorem.

1999:

Invited talk: First Canada-China Mathematics Congress, Tsinghua University, Beijing, China, August 23, 1999; Report on progress in continuous cyclic cohomology.
Invited talk: American Mathematical Society Session on Operads, Algebras and Applications, Buffalo, New York, April 24-25, 1999; Homology of $A_{\infty}$ and $L_{\infty}$-algebras.

1998:

Invited talk: American Mathematical Society Meeting, Pennsylvania State College, College Station, Pennsylvania, October 24-26, 1998; Cyclic homology and homotopical algebra.
Invited talk: Conference in honor of P.A. Fillmore and H. Radjavi, Dalhousie University, Halifax, Nova Scotia, June 1998; Cyclic homology of DG coalgebras and a K\"{u}nneth formula.

1997:

Invited talk: Conference on Recent Results in Noncommutative Geometry, Lisbon, Portugal, September 11-13, 1997; Operations on cyclic homology, the X complex and a conjecture of Deligne.
Invited talk: Joint Differential Geometry and Topology Seminar, McGill University, Universite du Quebec a Montreal, and Concordia University, November 21, 1997; Operations on cyclic homology, a conjecture of Deligne and Kontsevich's formality theorem.
Invited talk: Annual Meeting of the American Mathematical Society, San Diego, California, January 1997; Operations on cyclic homology, the X-complex and a conjecture of Deligne.
Invited talk: Ontario Topology Seminar, Fields Institute, Toronto, Ontario, April 1997; On equivariant cyclic homology.
Invited talk: American Mathematical Society Meeting, Detroit, Michigan, May 1997; $A_{\infty}$-structures in cyclic homology.
Invited talk: Joint Meeting of Canadian Operator Algebra Symposium and Great Plains Operator Symposium, Kingston, Ontario, May 1997; New dimensions in noncommutative geometry.

1996:

Invited talk: International Centre for Theoretical Physics, Trieste, Italy, June 1996; Operations on cyclic homology and a conjecture of Deligne.

1995:

Colloquium: Guelph University, February 1995; Noncommutative geometry.
Invited talk: University of Western Ontario, February 1995; Cyclic homology, old and new.

1994:

Invited lecture series (3 lectures): Fields Institute, November 1994; Introduction to cyclic homology.
Colloquium: Dalhousie University, March 1994; Cyclic cohomology and noncommutative geometry.
Invited talk: Operator Theory Seminar, Dalhousie University, March 1994; Entire cyclic cohomology and finite cohomological dimension.
Invited talk: 25th AIMC, Tehran, March 1994, Algebraic connections and cyclic cohomology.

1992:

Invited talk: Institute for Studies in Theoretical Physics and Mathematics, Tehran, July 1992; Operations on cyclic homology.
Invited talk: Institute for Studies in Theoretical Physics and Mathematics, Tehran, July 1992; What is noncommutative geometry?
Invited talk: Algebraic K-theory Seminar, Paris, France, February 1992; A generalized Morita invariance for entire cyclic cohomology.

1992:

Invited talk: Algebra and Topology Seminar, University of Strasbourg, France, November 1991; Action of higher Hochschild groups on entire cyclic cohomology.
Invited talk: 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, June 1991; Some aspects of entire cyclic cohomology.

Talks

Research