2025 OIST Conference

Sub-Riemannian Analysis and Geometry

January 14 - 16, 2025

Sub-Riemannian analysis and geometry have emerged as vibrant areas of study, with profound implications across various branches of mathematics and beyond. The underlying structures and geometric properties of Carnot-Caratheodory spaces pose intriguing mathematical challenges. This conference serves as a platform for mathematicians and researchers from around the world to converge and explore the rich landscape of related mathematical theory alongside many important applications.

Our program encompasses a broad spectrum of topics including various aspects of geometric analysis, partial differential equations, geometric and functional inequalities, control theory, optimal transport, and stochastic processes on sub-Riemannian manifolds. This conference aims to bring together experts, promote collaboration and inspire fresh perspectives on diverse subjects within the realm of sub-Riemannian settings.

Venue: C209 (Center Building) or Zoom

Zoom Registration: Click here to get a Zoom link for online participation.

Tuesday, Jan. 14

10:00-11:00 Maria Gordina (University of Connecticut)

Dimension-independent functional inequalities on sub-Riemannian manifolds

 

11:20-12:20 Jeremy Tyson (University of Illinois Urbana-Champaign)

The H-type deviation of a step two Carnot group

 

14:00-15:00 Davide Barilari (University of Padova)

Refined Strichartz Estimates for sub-Laplacians in Heisenberg and H-type groups

 

15:10-16:10 Andrea Pinamonti (University of Trento)

Some regularity results for balance laws and applications to the Heisenberg group

 

16:30-17:10 Ye Zhang (OIST)

The heat flow approach to the Prékopa--Leindler inequality

 

Wednesday, Jan. 15

10:00-11:00 Bianca Stroffolini (University of Naples Federico II)

Natural \(p\)-means for the \(p\)-Laplacian in the Euclidean space and in the Heisenberg Group

 

11:20-12:20 Xiao Zhong (University of Helsinki)

Dimer models and Beltrami equation

 

14:00-15:00 Luca Rizzi (SISSA)

Measure contraction properties for sub-Riemannian structures beyond step 2

 

15:20-16:20 Giovanna Citti (University of Bologna)

A representation formula on the characteristic plane of the Heisenberg group

 

16:40-17:20 Kenshiro Tashiro (OIST)

RCD condition for spaces with sub-Riemannian type singularities

 

Thursday, Jan. 16

10:00-11:00 Enrico Le Donne (University of Fribourg)

Variational curve flows in Carnot groups

 

11:20-12:20 Luca Capogna (Smith College)

Short time existence for curve shortening flows in Carnot groups

 

 

Talk Abstracts: A program booklet including the abstracts of all talks is available here.

 

Organizers: Qing Liu (OIST), Ye Zhang (OIST), Xiaodan Zhou (OIST)