Calabi-Yau varieties and Shimura varieties

Abstract: I will discuss the Attractor Conjecture for Calabi-Yau varieties, which was formulated by Moore in the nineties, highlighting the difference between Calabi-Yau varieties with and without Shimura moduli. In the Shimura case, I show that the conjecture holds and gives rise to an explicit parametrization of CM points on certain Shimura varieties; in the case without Shimura moduli, I’ll present counterexamples to the conjecture using unlikely intersection theory. Part of this is joint work with Arnav Tripathy.

number theory

Audience: researchers in the topic

Comments: There will be a 30 minute pre-talk.

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.