Title: Symmetry: from physics of string theory to algebra of Gorenstein rings

Speaker: Henry Schenck (Auburn)

Time: 15:30-16:05 (GMT+0), 2021.08.13

Abstract:

In physics, String Theory posits a symmetry between certain pairs of geometric objects: Calabi-Yau threefolds. In algebra, Gorenstein rings are objects possessing an intrinsic, internal symmetry. We’ll discuss connections between the two sets of objects, going from the basic algebraic construction, to computation, culminating in smooth Calabi-Yau threefolds with new Hodge numbers.

The talk will start from ground zero, and anything we need along the way will be defined (by example).

Joint work with Mike Stillman and Beihui Yuan, Cornell.