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Group Meeting on Algebraic Topology and Its Applications
\( L^2 \) theory and converse of \( L^2 \) theory
\( L^2 \) theory and converse of \( L^2 \) theory
Organizers
Speaker
Time
Wednesday, May 21, 2025 1:00 PM - 2:00 PM
Venue
A3-1a-205
Online
Zoom 435 529 7909
(BIMSA)
Abstract
In this talk, we will review some classical results on \( L^2 \) theory and its converse in several complex variables. We will then discuss recent developments in these areas, with a focus on an optimal \( L^2 \) extension theorem for \( L^2 \)-optimal pairs. As a key application, this result provides a complete solution to a fundamental question raised by Deng–Ning–Wang and Inayama.