Analysis and Geometry in Several Complex Variables
Our workshop will gather analysts and (CR) geometers to discuss current trends and problems. The connection between these areas has been one of the most exciting developments in Several Complex Variables of the past decade. This connection stems from the interplay of theboundary geometry of a domain and the analysis of the behaviour of holomorphic functions on the domain, from several points of view. Particular topics that will be discussed in the workshop include the following:
CR mappings: Regularity and finite determination property of CR mappings;
Invariant metrics and Curvature in SCV: Cheng-Yau conjecture, Kobayashi hyperbolicity;
Asymptotic Analysis of kernel/potential functions: Ramadanov conjecture, log singularities of the kernel functions. 
Nov. 20, 2023
Nov. 21, 2023
Nov. 22, 2023
Nov. 23, 2023
Nov. 24, 2023
09:00 — 09:30
Registration & Welcome
09:30 — 10:20
Emil Straube (TAMU, College Station)
Diederich-Fornæss index, D'Angelo forms, and global regularity in the $\bar\partial$-Neumann problem
Diederich-Fornæss index, D'Angelo forms, and global regularity in the $\bar\partial$-Neumann problem
10:20 — 11:00
Coffee Break
11:00 — 11:50
Severine Biard (UPHF)
A Residue formula and applications to stable sets of foliations
A Residue formula and applications to stable sets of foliations
11:50 — 14:00
Lunch Break
14:00 — 14:50
Anne-Katrin Gallagher (GTI)
On the Poincare inequality on open sets in R^n
On the Poincare inequality on open sets in R^n
15:00 — 15:50
Andrew Raich (UA)
The d-bar problem on Z(q) domains
The d-bar problem on Z(q) domains
16:00 — 16:50
Rasul Shafikov (UWO)
Rational convexity on Stein and projective manifolds
Rational convexity on Stein and projective manifolds
16:50 — 18:30
Wine & Cheese
09:30 — 10:20
Shiferaw Berhanu (U of Maryland)
The Rado property for CR functions.
The Rado property for CR functions.
10:20 — 11:00
Coffee Break
11:00 — 11:50
Ilya Kossovskiy (Masaryk U, Brno)
Sphericity and analyticity of a strictly pseudoconvex hypersurface in low regularity
Sphericity and analyticity of a strictly pseudoconvex hypersurface in low regularity
11:50 — 14:00
Lunch Break
14:00 — 14:50
Ming Xiao (UC San Diego)
Kähler-Einstein Bergman metrics on pseudoconvex domains
Kähler-Einstein Bergman metrics on pseudoconvex domains
15:00 — 15:50
Jean Ruppenthal (BUW)
The L2-Stokes Theorem on Complex Varieties and Dolbeault Cohomology
The L2-Stokes Theorem on Complex Varieties and Dolbeault Cohomology
09:00 — 09:50
Takeo Ohsawa (Nagoya U)
Weighted Bergman spaces on locally pseudoconvex domains
Weighted Bergman spaces on locally pseudoconvex domains
10:00 — 10:50
John (Nick) Treuer (UC San Diego)
Modifications of the Levi core
Modifications of the Levi core
11:00 — 11:30
Coffee Break
11:30 — 12:30
Dmitri Zaitsev (Trinity College, Dublin)
Catlin's global regularity - a new proof and generalizations.
Catlin's global regularity - a new proof and generalizations.
17:00 — 21:00
Social Dinner
Additional information and registration will be made available. Location: https://weingutkerbl.at/kerbl-am-weinberg/ , transportation will be arranged.
09:30 — 10:20
John P. D'Angelo (U Illinois)
Rational sphere maps: symmetries, gaps, and optimization.
Rational sphere maps: symmetries, gaps, and optimization.
10:20 — 11:00
Coffee Break
11:00 — 11:50
Loredana Lanzani (U of Bologna & Syracuse U)
A numerical method for the solution of BVPs for $\bar\partial$ on convex planar domains
A numerical method for the solution of BVPs for $\bar\partial$ on convex planar domains
11:50 — 14:00
Lunch Break
14:00 — 14:50
Sean Curry (OSU)
The local CR embedding problem
The local CR embedding problem
15:00 — 15:50
Howard Jacobowitz (Rutgers University)
CR Geometry and Analysis
CR Geometry and Analysis
09:30 — 10:20
Nikolay Shcherbina (BUW)
On Kobayashi and Bergman hyperbolicity of strictly pseudoconvex rigid domains
On Kobayashi and Bergman hyperbolicity of strictly pseudoconvex rigid domains
10:20 — 11:00
Coffee Break
11:00 — 11:50
Laurent Stolovitch (U Côte d'Azur, Nice)
On neighborhoods of embedded complex tori
On neighborhoods of embedded complex tori
11:50 — 14:00
Lunch Break
14:00 — 14:50
Gian Maria Dall'Ara (INDAM and SNS (Pisa))
Spectral gap estimates for $\bar\partial$-Laplacians and subellipticity in the $\bar\partial$-Neumann problem
Spectral gap estimates for $\bar\partial$-Laplacians and subellipticity in the $\bar\partial$-Neumann problem
15:00 — 15:50
Franc Forstneric (U Ljubljana)
Oka tubes in holomorphic line bundles
Oka tubes in holomorphic line bundles
Organizers
| Name | Affiliation |
|---|---|
| Peter Ebenfelt | University of California, San Diego |
| Purvi Gupta | Indian Institute of Science, Bengalore |
| Bernhard Lamel | University of Vienna |
| Nordine Mir | Texas A&M University at Qatar |
Attendees
| Name | Affiliation |
|---|---|
| Shiferaw Berhanu | University of Maryland |
| Severine Biard | Universite Polytechnique Haute-de-France |
| Anand Chavan | Jagiellonian University |
| Sean Curry | Oklahoma State University |
| Gian Maria Dall'Ara | INDAM and Scuola Normale Superiore (Pisa) |
| John P. D'Angelo | University of Illinois at Urbana-Champaign |
| Antonio Victor Da Silva Jr | Texas A&M University at Qatar |
| Makhlouf Derridj | Universite de Rouen |
| Luke Edholm | University of Vienna |
| Franc Forstneric | University of Ljubljana |
| Stefan Fürdös | University of Vienna |
| Anne-Katrin Gallagher | Gallagher Tool & Instrument |
| Soumya Ganguly | University of California, San Diego |
| Tobias Harz | Bergische Universität Wuppertal |
| Friedrich Haslinger | University of Vienna |
| Nai-Yu Hu | University of Vienna |
| Howard Jacobowitz | Rutgers University Camden |
| David Kalaj | University of Montenegro |
| Ilya Kossovskiy | Masaryk University |
| Valentin Kunz | University of Bologna |
| Loredana Lanzani | U of Bologna & Syracuse U |
| Christina Neumayer | University of Vienna |
| Vinicius Novelli | University of San Paolo |
| Takeo Ohsawa | Nagoya University |
| Thomas Pawlaschyk | Bergische Universität Wuppertal |
| Dariusz Piekarz | Jagiellonian University |
| Andrew Raich | University of Arkansas |
| Jean Ruppenthal | Bergische Universität Wuppertal |
| Rasul Shafikov | University of Western Ontario |
| Nikolay Shcherbina | Bergische Universität Wuppertal |
| Jonathan Shelah | University of Ljubljana |
| Laurent Stolovitch | Université Côte d'Azur |
| Emil Straube | Texas A & M University |
| John (Nick) Treuer | University of California, San Diego |
| Fani Xerakia | University of Vienna |
| Ming Xiao | University of California, San Diego |
| Dmitri Zaitsev | Trinity College |
| Weixia Zhu | University of Vienna |
Emil Straube (TAMU, College Station): Diederich-Fornæss index, D'Angelo forms, and global regularity in the $\bar\partial$-Neumann problem
Nov. 20, 2023 09:30 — 10:20
Nov. 20, 2023 09:30 — 10:20
Anne-Katrin Gallagher (GTI): On the Poincare inequality on open sets in R^n
Nov. 20, 2023 14:00 — 14:50
Nov. 20, 2023 14:00 — 14:50
Ming Xiao (UC San Diego): Kähler-Einstein Bergman metrics on pseudoconvex domains
Nov. 21, 2023 14:00 — 14:50
Nov. 21, 2023 14:00 — 14:50
Jean Ruppenthal (BUW): The L2-Stokes Theorem on Complex Varieties and Dolbeault Cohomology
Nov. 21, 2023 15:00 — 15:50
Nov. 21, 2023 15:00 — 15:50
Dmitri Zaitsev (Trinity College, Dublin): Catlin's global regularity - a new proof and generalizations.
Nov. 22, 2023 11:30 — 12:30
Nov. 22, 2023 11:30 — 12:30
John P. D'Angelo (U Illinois): Rational sphere maps: symmetries, gaps, and optimization.
Nov. 23, 2023 09:30 — 10:20
Nov. 23, 2023 09:30 — 10:20
Nikolay Shcherbina (BUW): On Kobayashi and Bergman hyperbolicity of strictly pseudoconvex rigid domains
Nov. 24, 2023 09:30 — 10:20
Nov. 24, 2023 09:30 — 10:20
Laurent Stolovitch (U Côte d'Azur, Nice): On neighborhoods of embedded complex tori
Nov. 24, 2023 11:00 — 11:50
Nov. 24, 2023 11:00 — 11:50
At a glance
- Type:
- Workshop
- When:
- Nov. 20, 2023 — Nov. 24, 2023
- Where:
- ESI Boltzmann Lecture Hall
- Organizer(s):
-
Peter Ebenfelt (UC San Diego)
Purvi Gupta (IIS Bengalore)
Bernhard Lamel (U of Vienna)
Nordine Mir (Texas A&M U at Qatar)