Departmental Colloquium

Title

Differentials and differential operators

Abstract

In the first part, I will describe Kähler differentials and derivations and some of the history behind the classic Lipman-Zariski Conjecture, as well as a generalized question proposed by Graf. Together with Vassiliadou, we give a partial answer to Graf’s question for a certain class of varieties. In the second portion, we turn our attention to higher order differential operators, finding explicit generators and free resolutions in some low orders for the hypersurfaces studied by Bernstein-Gel’fand-Gel’fand and Vigué. This is joint work with Diethorn, Jeffries, Packauskas, Pollitz, Rahmati, and Vassiliadou. No specific algebraic or geometric background is required.

Note, Dr. Miller will also give a Career Path Talk for students on April 8 (Tuesday) at 2pm in LCB 222 and there will be coffee with the speaker and AWM on April 9 (Wednesday). To join for coffee, meet at 2pm in the JWB lounge and then the group will walk to a coffee shop.