Elliptic cohomology of level n

Abstract: Elliptic genera have played an important role in algebraic topology and algebraic geometry since the 1980s. To every almost-complex manifold they associate a modular form for the congruence subgroups $\Gamma_1(n)$. More recently, elliptic cohomology theories have been built that are natural targets of elliptic genera for families. I will give an overview of these theories and report in particular on certain $C_2$-equivariant refinements.

algebraic topology

Audience: researchers in the topic

Online algebraic topology seminar

Series comments: The seminar is hosted on Zoom. To minimise security concerns, access information for the Zoom meeting will only be sent out through the mailing list approximately an hour before the seminar is due to begin, details of which are below.

To join the mailing list for OATS, please complete the form here.