Difference between revisions of "Algebra and Algebraic Geometry Seminar Fall 2021"

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|Michael
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Revision as of 09:43, 22 September 2021

The Virtual Seminar will take place on Fridays at 2:30 pm via Zoom. We will also link to relevant or interesting Zoom talks outside of the seminar.

Algebra and Algebraic Geometry Mailing List

  • Please join the AGS mailing list by sending an email to ags+join@g-groups.wisc.edu to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

COVID-19 Update

As a result of Covid-19, the seminar for this semester will be a mix of virtual and in-person talks. The default Zoom link for the seminar is https://uwmadison.zoom.us/j/9502605167 (sometimes we will have to use a different meeting link, if Michael K cannot host that day).

Fall 2021 Schedule

date speaker title host/link to talk
September 24 Michael Kemeny (local) The Rank of Syzygies
October 1 Michael K Brown (Auburn University) Something about toric varieties, probably Daniel
October 8 Peter Wei (local) TBD (talk will be about results of Ogus on K3 surfaces in char p and syzygies) Michael
October 15
October 22 Ritvik Ramkumar (UC Berkeley) Something about Hilbert schemes, probably Daniel
October 29
November 5 Eric Ramos Equivariant log-concavity
November 12
November 19
November 26 Thanksgiving
December 3
December 10

Abstracts

Speaker Name

Michael Kemeny

Title: The Rank of Syzygies

Abstract: I will explain a notion of rank for the relations amongst the equations of a projective variety. This notion generalizes the classical notion of rank of a quadric and is just as interesting! I will spend most of the talk developing this notion but will also explain one result which tells us that, for a randomly chosen canonical curve, you expect all the linear syzygies to have the lowest possible rank. This is a sweeping generalization of old results of Andreotti-Mayer, Harris-Arbarello and Green, which tell us that canonical curves are defined by quadrics of rank four.