Algebra and Algebraic Geometry Seminar Fall 2022: Difference between revisions
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== Abstracts == | |||
=== Thomas Yahl (TAMU) === | |||
==== Computing Galois groups of finite Fano problems ==== | |||
The problem of enumerating linear spaces of a fixed dimension on a variety is known as a Fano problem. Those Fano problems with finitely many solutions have an associated Galois group that acts on the set of solutions. For a class of Fano problems, Hashimoto and Kadets determined the Galois group completely and showed that for all other Fano problems the Galois group contains the alternating group on its solutions. For Fano problems of moderate size with as yet undetermined Galois group, computational methods prove the Galois group is the full symmetric group. | |||
Revision as of 21:55, 20 August 2022
The Seminar takes place on Fridays at 2:30 pm, either virtually (via Zoom) or in person in room B235 Van Vleck.
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 2022 Schedule
| date | speaker | title | host/link to talk | |
|---|---|---|---|---|
| Sept 30th | Thomas Yahl | Computing Galois groups of finite Fano problems | Rodriguez | |
| October 7th | TBA | TBA | Reserved for the arithmetic geometry workshop | |
Abstracts
Thomas Yahl (TAMU)
Computing Galois groups of finite Fano problems
The problem of enumerating linear spaces of a fixed dimension on a variety is known as a Fano problem. Those Fano problems with finitely many solutions have an associated Galois group that acts on the set of solutions. For a class of Fano problems, Hashimoto and Kadets determined the Galois group completely and showed that for all other Fano problems the Galois group contains the alternating group on its solutions. For Fano problems of moderate size with as yet undetermined Galois group, computational methods prove the Galois group is the full symmetric group.