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BIMSA AG Seminar
BIMSA AG Seminar
The derived analytic nonlinear Cauchy-Kowaleskaya-Kashiwara theorem
The derived analytic nonlinear Cauchy-Kowaleskaya-Kashiwara theorem
Organizers
Speaker
Time
Thursday, July 2, 2026 10:00 AM - 11:00 AM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
The initial value, or Cauchy problem for linear PDES has a well-known formulation via microlocal and sheaf theoretic terms. This abstract formulation, known as the Cauchy-Kowaleskaya-Kashiwara theorem, is an equivalence between derived solution functors for the associated D modules.
In previous work with Sheshmani-Yau we proved a non linear analog in the context of derived algebraic geometry.
In this talk, I will discuss the proof of a vast generalization of our result to the setting of derived analytic geometry which involves, for instance, introducing analytic versions of the Arinkin-Gaitsgory singular support.
In previous work with Sheshmani-Yau we proved a non linear analog in the context of derived algebraic geometry.
In this talk, I will discuss the proof of a vast generalization of our result to the setting of derived analytic geometry which involves, for instance, introducing analytic versions of the Arinkin-Gaitsgory singular support.