Algebra and Algebraic Geometry Seminar Fall 2021: Difference between revisions
| Line 98: | Line 98: | ||
===Speaker Name=== | ===Speaker Name=== | ||
Title: | ===Michael Kemeny=== | ||
Title: The Rank of Syzygies | |||
Abstract: | 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''. | |||
Revision as of 15:38, 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 | ||||
| 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.