数学科学研究所
Insitute of Mathematical Sciences

讲座活动

Seminar| Institute of Mathematical Sciences

Time:Friday, Apirl 16th, 2021, 09:30-10:30 

LocationZoom

        

Speaker: Ruijie Yang, Stony Brook University

AbstractIn this talk, I would like to present a new and geometric proof of Sabbah's Decomposition Theorem, which asserts that any semisimple local system remains semisimple after taking the direct image under proper algebraic maps. Sabbah's proof is D-module-theoretic in nature and relies on his theory of polarizable twistor D-modules, which generalizes Saito's theory of polarizable Hodge modules. Instead, we combine the topological approach developed by De Cataldo-Migliorini and Simpson's theory of mixed twistor structures to give the new proof. Along the way, we obtain new results about the cohomology of semisimple local systems. Joint work with Chuanhao Wei.


Zoom linkhttps://zoom.com.cn/j/94697496371?pwd=TlYydk95RGN1YU5WMHQzVVRBUlE0QT09

Conference zoom number: 946 9749 6371

Psssword: 092303


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