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Seminar

DDC Junior Seminar: The top weight cohomology of A_g November 03, 2020 (09:00 AM PST - 10:00 AM PST)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Juliette Bruce (Brown University)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

The seminar will feature research talks by the six postdoctoral scholars appointed to the Fall 2020 DDC program, along with talks by students and other pre-tenure researchers associated with this program.  Since seminar attendees will have disparate backgrounds, we plan that these talks will not be too advanced, nor will they assume substantial background knowledge.  Our postdocs include number theorists, model theorists, and computable structure theorists, and talks can be expected to span all of these areas.

 

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

The Top Weight Cohomology Of A_g

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Abstract:

I will discuss recent work calculating the top weight cohomology of the moduli space A_g of principally polarized abelian varieties of dimension g for small values of g. The key idea is that this piece of cohomology is encoded combinatorially via the relationship between the boundary complex of a compactification of A_g and the moduli space of tropical abelian varieties. This is joint work with Madeline Brandt, Melody Chan, Margarida Melo, Gwyneth Moreland, and Corey Wolfe. 

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The Top Weight Cohomology Of A_g

H.264 Video 25157_28655_8609_The_Top_Weight_Cohomology_of_A_g.mp4