文鏞碩 , 清水浩二

丁希娜娜·阿米娜·阿祖兹

2026年11月05日 12:15 至 13:00

A4-1

These two talks introduce separable algebra objects and explain how separability leads to rigidity and finiteness results. In the first talk, we discuss algebra structures and separability, starting from familiar examples and moving to the setting of monoidal categories. We then introduce Hochschild cohomology and explain how a separability morphism provides a contracting homotopy in the degrees needed for rigidity. In the second talk, we describe algebra structures and homomorphisms as points of algebraic varieties equipped with algebraic-group actions. We explain how the cohomological vanishing results yield open orbits and lead to finiteness statements and effective bounds. Examples from representation theory will guide the discussion, with connections to number theory and algebraic geometry.

I have been an assistant professor at BIMSA since January 2024. My research primarily focuses on p-adic differential equations. I defended my Ph.D. thesis in 2018 at Montpellier University. Before joining BIMSA, I was an assistant professor at Algiers University. Subsequently, I was a postdoc at YMSC, Tsinghua University, from April 2021 to December 2023.