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.

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
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