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Math & Stats Department Colloquium

Friday, January 13th, 2023

Time: 2:30 p.m.  Place: Jeffery Hall, Room 234

Speaker: Noriko Yui (¾ÅÐãÖ±²¥)

Title: Modularity of certain Calabi-Yau threefolds of Hodge type (1,1,1,1)

Abstract: We will focus on (families of) Calabi-Yau threefolds of Hodge type (1, 1, 1, 1), and discuss their modularity/automorphy in the framework of the Langlands Philosophy. In the last thirty years or so, we have witnessed tremendous advances on the modularity questions for Calabi-Yau varieties. Most of these results rest on the modularity of the two-dimensional Galois representations associated to them. The next simplest cases are those Calabi{Yau threefolds of Hodge type (1, 1, 1, 1). I will present modularity results on some examples of such Calabi{Yau threefolds (and motives).

Noriko Yui is a professor of mathematics at ¾ÅÐãÖ±²¥ in Kingston, Ontario.
A native of Japan, Yui obtained her B.S. from Tsuda College, and her Ph.D. in Mathematics from Rutgers University in 1974 under the supervision of Richard Bumby.
Known internationally, Yui has been a visiting researcher at the Max-Planck-Institute in Bonn a number of times and a Bye-Fellow at Newnham College, University of Cambridge. Her research is based in arithmetic geometry with applications to mathematical physics and notably mirror symmetry. Currently, much of her work is focused upon the modularity of Calabi-Yau threefolds. Notably, she and Fernando Q. Gouvea have shown that for X, a projective rigid Calabi-Yau threefold defined over the rationals , the L-function of X is the L-function of a certain modular form.
Professor Yui has been the managing editor for the journal Communications in Number Theory and Physics since its inception in 2007. In 2022 she became a fellow of the Canadian Mathematical Society.