Speaker:

\nDaniel Erman (University of Wisconsin)

\nTitle:

\nUltraproducts\, Hilbert’s Syzygy Theorem\, and Stillma n’s Conjecture

\nWhen and where:

\n3-3:50pm\, December 7\, in Keller 403

\nAbstract:

\nHilbert’s Syzygy Theorem is a classic
finiteness result about

\na construction in algebra known as a free
resolution.

Stillman once proposed an analogue of Hilbert’s result \, which involved potentially considering polynomials in infinitely many v ariables.

\nStillman’s Conjecture was recently solved\, and perhaps the simplest proof is based upon a novel use of an ultraproduct.

\nI ’ll give an expository overview of the history of Stillman’s Conjecture (v ery little algebraic background will be assumed)\, and then explain how an d why ultra products came to play such a key role.

DTSTART;TZID=Pacific/Honolulu:20221207T150000 DTEND;TZID=Pacific/Honolulu:20221207T160000 SEQUENCE:0 SUMMARY:Logic seminar: Daniel Erman URL:https://math.hawaii.edu/wordpress/event/logic-seminar-daniel-erman-tent ative/ END:VEVENT END:VCALENDAR