ネブラスカ大学リンカーン校のKazuo,Yamazaki先生の講演が下記の日程で行われます。
皆さま是非ともご参加ください。

日時：2026年 3月18日（水）14：00～15：30
場所：理学研究科３号館127室

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 $\Phi^{4}$ model from quantum field theory.

・本学の学生は申込不要です。
・本講演は京都大学のスーパーグローバル教育プログラム、スーパーグローバルコース（数学分野）の
企画講演です。
当コースについての詳細はhttps://www.math.kyoto-u.ac.jp/ja/ktgu/ktguをご覧ください。