Calabi-Yau varieties and Shimura varieties

Abstract: Calabi-Yau (CY) varieties are certain special varieties which have been the subject of intense studies by algebraic geometers in the last few decades. I will try to explain some arithmetic properties of these varieties; more specifically, I will discuss two results on the Attractor Conjecture which was formulated by Greg Moore in 1998. Throughout I will emphasize the difference between CYs with and without Shimura moduli. Time permitting, I will discuss what one can (conjecturally!) expect from CYs with and without Shimura moduli. I will not assume familiarity with CYs or Shimura varieties.

number theory

Audience: researchers in the topic

( slides )

UCLA Number Theory Seminar