PIMS Hugh C. Morris Lecture, Professor Noriko Yui, Queen's University - April 25th @ 3:30 pm - ARTS 146

PIMS Hugh C. Morris Lecture

Speaker: Professor Noriko Yui, Queen's University

Date / Time: Thursday, April 25th @ 3:30 pm

Location: ARTS 146

Talk Title: Modularity of Calabi-Yau varieties

Abstract: Let X be a Calabi-Yau variety of dimension d. We will confine ourselves to Calabi-Yau varieties of small dimensions, e.g., d ≤ 3. Dimension one Calabi–Yaus are elliptic curves, those of dimension two are K3 surfaces, and dimension three ones are Calabi-Yau threefolds. Geometry and physics are both very much in evidence on Calabi-Yau varieties over the field of complex numbers.

Today I will focus on Calabi-Yau varieties defined over the field Q of rational numbers (or number fields), and will discuss the modularity / automorphy of Calabi-Yau varieties in the framework of the Langlands philosophy.

In the last twenty-five years, we have witnessed tremendous advances on the modularity question for Calabi-Yau varieties. All these results rest on the modularity of the two-dimensional Galois representations associated to them. In this lecture, I will present these fascinating results.

If time permits, I will discuss a future direction for the realization of the Langlands philosophy, in particular, for Calabi-Yau threefolds.

Hope to see you there!

Colloquium Committee

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