Home /  Fellowship of the Ring: The Fiber-Full Scheme

Seminar

Fellowship of the Ring: The Fiber-Full Scheme October 12, 2021 (01:00 PM PDT - 02:30 PM PDT)
Parent Program: --
Location: SLMath: Online/Virtual
Speaker(s) Yairon Cid-Ruiz (North Carolina State University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Fellowship Of The Ring: The Fiber-Full Scheme

Abstract/Media

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We introduce the fiber-full scheme which can be seen as the parameter space that generalizes the Hilbert and Quot schemes by controlling the entire cohomological data. In other words, the fiber-full scheme controls the dimension of all cohomologies of all possible twistings, instead of just the Hilbert polynomial. We also present some applications that can be derived from the existence of the fiber-full scheme. This talk is based on joint work with Ritvik Ramkumar.

91727?type=thumb The Fiber-Full Scheme 1.65 MB application/pdf

Fellowship Of The Ring: The Fiber-Full Scheme