Hypoelliptic operators in geometry. Abstracts from the workshop held May 21–26, 2023. (English) Zbl 1528.32001
Summary: The workshop titled Hypoelliptic Operators in Geometry was coorganized by Davide Barilari (Padova), Xiaonan Ma (Paris), Nikhil Savale (K\"{}oln) and Yi Wang (Baltimore). It was well attended by 55 participants, with 45 of them being present in person and 10 being online. The participants came from several continents, age groups and included male as well as female researchers. Several interesting themes were discussed including: analysis around Kohn’s Laplacian in CR geometry, analogous covariant operators arising in conformal geometry, the spectral theory of the sub-Riemannian Laplacian, pseudodifferential calculi in non-commutative geometry and the geometric applications of Bismut’s hypoelliptic Laplacians.
MSC:
| 00B05 | Collections of abstracts of lectures |
| 00B25 | Proceedings of conferences of miscellaneous specific interest |
| 32-06 | Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces |
| 58-06 | Proceedings, conferences, collections, etc. pertaining to global analysis |
| 32A25 | Integral representations; canonical kernels (Szegő, Bergman, etc.) |
| 32V20 | Analysis on CR manifolds |
| 35H10 | Hypoelliptic equations |
| 35H20 | Subelliptic equations |
| 35K08 | Heat kernel |
| 35R03 | PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. |
| 53C17 | Sub-Riemannian geometry |
| 53C18 | Conformal structures on manifolds |
| 58C40 | Spectral theory; eigenvalue problems on manifolds |
| 58J20 | Index theory and related fixed-point theorems on manifolds |
| 58J40 | Pseudodifferential and Fourier integral operators on manifolds |
| 58J65 | Diffusion processes and stochastic analysis on manifolds |
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