Elliptic cohomology of the unitary group

Abstract: We aim to show that the elliptic cohomology of the (classifying stack of the) unitary group can be calculated as the ring of functions on the Hilbert scheme of points of the associated derived elliptic curve. To this end, we will begin with a discussion of (integral) equivariant elliptic cohomology, due to Jacob Lurie, using the formalism of orbispaces, as developed by myself and Andre Henriques. This is joint work with Lennart Meier.

algebraic topology

Audience: researchers in the topic

MIT topology seminar

Series comments: We meet at varying times on Monday. Click here to join the zoom meeting . The Zoom meeting room number is 132-540-375.

The mailing list for this seminar is the MIT topology google group. Email Mike Hopkins if you want to join the list.