Algebra and Algebraic Geometry Seminar Fall 2023
The seminar normally meets 2:30-3:30pm on Fridays, in the room VV B223.
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).
Fall 2023 Schedule
| date | speaker | title | host/link to talk |
|---|---|---|---|
| November 17 | Purnaprajna Bangere | Syzygies of adjoint linear series on projective varieties | Michael K |
Abstracts
Purnaprajna Bangere
Syzygies of adjoint linear series on projective varietiess
Syzygies of algebraic varieties have long been a topic of intense interest among algebraists and geometers alike. After the pioneering work of Mark Green on curves, numerous attempts have been made to extend some of these results to higher dimensions. It has been proposed that the syzygies of adjoint linear series L=K+mA, with A ample is a natural analogue for higher dimensions to explore. The very ampleness of adjoint linear series is not known for even threefolds. So the question that has been open for many years is the following (Question): If A is base point free and ample, does L satisfy property N_p for m>=n+1+p? Ein and Lazarsfeld proved this when A is very ample in 1991. In a joint work with Justin Lacini, we give a positive answer to the original question above.