Maximum Principle for Elliptic PDE and Geometric Applications (Lecture 2) by Barbara Nelli

Описание: Program

Geometry and Analysis of Minimal Surfaces

ORGANIZERS: Rukmini Dey (ICTS-TIFR, Bengaluru, India), Rafe Mazzeo (Stanford University, Stanford, USA), Charles Ouyang (Washington University, Washington DC, USA) and Franz Pedit (University of Massachusetts, Amherst, USA)

DATE & TIME: 18 August 2025 to 29 August 2025

VENUE: Ramanujan Lecture Hall, ICTS Bengaluru

Minimal surfaces play an important role in a number of areas in mathematics, including geometry, topology, complex analysis, PDE, Lie theory, algebraic geometry and mathematical physics. There are also applications to architecture, biology, and material science. In recent years, there have been significant breakthroughs in the theory, both in the understanding of minimal surfaces and in the construction of new examples. This program focuses on geometric and analytic aspects of minimal surfaces, bringing together practitioners of these two perspectives.

This is a two-week thematic program with a focus on recent developments in minimal surface theory. The first week will be a summer school featuring several mini-courses, with each course consisting of 3 one hour lectures. The second week will be a conference with the intent of bringing together renowned and leading researchers working on various aspects of minimal surface theory (geometric analysis, higher Teichmüller theory, non-Abelian Hodge theory, complex geometry, symplectic geometry, mathematical physics and other fields) to give one hour talks on their latest research. We hope to simultaneously raise awareness of the important problems on which each group focuses and communicate some of the newly emerging and successful techniques used by the respective groups. Our goal is to also allow early career researchers, such as students and postdocs, to learn enough during the program to initiate their own research programs in these active fields.

CONTACT US: [email protected]

PROGRAM LINK: https://icts.res.in/program/gams