Home /  COMA/NAG Joint Graduate Student Seminar: "Degeneration of (noncommutative) Hodge to de Rham spectral sequence of elliptic curves"

Seminar

COMA/NAG Joint Graduate Student Seminar: "Degeneration of (noncommutative) Hodge to de Rham spectral sequence of elliptic curves" March 08, 2024 (10:00 AM PST - 11:00 AM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Yunfan He (Peking University)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Degeneration of (noncommutative) Hodge to de Rham spectral sequence of elliptic curves

Abstract/Media

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For a smooth projective variety, Deligne and Illusie showed that its Hodge to de Rham spectral sequence degenerates at the first page. During this talk, I will talk about a special nonsmooth case, the projective nodal cubic curve. In particular, we will see that its Hodge to de Rham spectral sequence degenerates at the second page. I will also discuss why this is important for computation of categorical enumerative invariants of nodal curve.

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Degeneration of (noncommutative) Hodge to de Rham spectral sequence of elliptic curves