Online Seminar on the Hypoelliptic Laplacian and Noncommutative Geometry

We are a working group interested in the hypoelliptic Laplacian, noncommutative geometry, and applications to representations and singular spaces.

Date
Speaker
Title
March 27, 2020
Nigel Higson (Penn State)
Abstract pseudodifferential operators and the hypoelliptic Laplacian, part 1
April 3, 2020
Nigel Higson (Penn State)
Abstract pseudodifferential operators and the hypoelliptic Laplacian, part 2
April 10, 2020
Jean-Michel Bismut (Paris Sud)
Fokker-Planck operators and the center of the universal enveloping algebra
April 17, 2020
Shu Shen (Paris 6)
Orbital integrals and the center of the enveloping algebra
April 24, 2020
Shu Shen (Paris 6)
The hypoelliptic Laplacian and Witten deformation
May 1, 2020
Jean-Michel Bismut (Paris Sud)
Localitzation formulas and Hypoelliptic Laplacian for compact Lie groups
May 8, 2020
Yiannis Loizides (Penn State)
Quantization of Hamiltonian loop group spaces
May 15, 2020
Bingxiao Liu (Max Planck)
Asymptotic analytic torsion for compact locally symmetric orbifold
May 22, 2020
Zelin Yi (Chern Institute)
Lefschetz fixed point formula and tangent groupoid
May 29, 2020
Siahei Finski (Grenoble)
Spanning trees, loop measures and zeta-regularized determinant of Laplacian
June 5, 2020
Yanli Song (St. Louis)
Higher orbital integrals, Plancherel theorem and higher index theorem
June 12, 2020
Omar Mohsen (Muenster)
Index theorem for inhomogeneous differential operators
June 19, 2020
Xiaonan Ma (Paris 7)
Quotient of Bergman kernels on punctured Riemann surfaces
June 26, 2020
Erik Van Erp (Dartmouth College)
A Chern character for the Heisenberg calculus
July 3, 2020
Jean-Michel Bismut (Paris Sud)
Hypoelliptic Dirac Operator, Chern Character, and Transversality
July-August
Summer Break
September 25, 2020
Edward McDonald
A Dixmier trace formula for the density of states
October 2, 2020
Weiping Zhang
Positive scalar curvature on foliations
October 9, 2020
Nikhil Savale
Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases
October 16, 2020
Shu Shen
The Fried Conjecture for Admissible Twists
October 23, 2020
Robert Yunken
The groupoid approach to pseudodifferential operators
October 30, 2020
Nigel Higson
Dirac operators on symmetric spaces and the Connes-Kasparov isomorphism
November 6, 2020
Yanli Song
Dirac operators on symmetric spaces and the Connes-Kasparov isomorphism II
November 13, 2020
Hang Wang
Representation of connected Lie groups and covering groups
November 20, 2020
Peter Hochs
Index theory on generalised cusps
December-January
Winter Break
January 22, 2021
Jean-Michel Bismut
An introduction to Quillen metrics
January 29, 2021
Mehmet Haluk Sengun
New Hecke modules for arithmetic groups via KK-theory: Part I
February 5, 2021
Bram Mesland
New Hecke modules for arithmetic groups via KK-theory: Part II
February 12, 2021
Nurulla Azamov
Spectral flow inside essential spectrum
February 19, 2021
Maxim Braverman
Spectral Flow of Toeplitz operators and bulk-edge correspondence
February 26, 2021
Jialin Zhu
Real analytic torsion forms
March 5, 2021
Ye-Ping Zhang
Adiabatic limit, Witten deformation and analytic torsion forms
March 12, 2021
Francis Nier
Boundary conditions for the hypoelliptic Laplacian
March 19, 2021
Matthias Ludewig
A Chern character for dg algebras and the loop space integral
March 26, 2021
Werner Müller
Analytic torsion of locally symmetric spaces and torsion in the cohomology of arithmetic groups
April 2, 2021
Batu Güneysu
Feynman-Kac formula for first order perturbations and applications to the Chern character
April 9, 2021
Shantanu Dave
Splitting construction for graded Rockland sequences
April 16, 2021
Jesus Sanchez Jr.
The Residue Cocycle for Dirac-like Operators
April 23, 2021
Shu Shen
Coherent sheaves, superconnection, and the Riemann-Roch-Grothendieck formula. I
April 30, 2021
Shu Shen
Coherent sheaves, superconnection, and the Riemann-Roch-Grothendieck formula. II
May 7, 2021
Alexis Drouot
Mathematical Aspects for Topological Insulators