A lecture by Prof. Kazuo Yamazaki (University of Nebraska–Lincoln) will be held as follows.
We warmly welcome your participation.

Date & Time: Wednesday, March 18, 2026, 14:00–15:30
Venue: Room 127, Science Building No. 3, Graduate School of Science

Title：「Singular Stochastic PDEs: Uniqueness, Non-uniqueness, and Global Theory」

Abstract：
Stochastic PDEs are PDEs forced by random noise and singular stochastic PDEs refer to the case when the noise is so rough that the solution becomes a distribution and the products within the nonlinear terms become ill-defined.
The breakthrough techniques of regularity structures and paracontrolled distributions has led to local-in-time solution theory for locally subcritical singular SPDEs, but two challenging questions remain: locally critical/supercritical cases, and global-in-time solution theory. We will discuss two approaches: convex integration technique that has shown potential for solution theory (non-unique) even in the locally critical/supercritical case and the estimates-oriented approach of Hairer-Rosati to construct global-in-time solution theory (unique). We also comment on another finding that the convex integration technique seems unlikely to succeed for the Φ4
model from quantum field theory.

◆No registration is required for Kyoto University students.

◆This lecture is part of the Kyoto University Super Global Education Program, Super Global Course (Mathematics).
For more details about the course, please visit: https://www.math.kyoto-u.ac.jp/ja/ktgu/ktgu