Hypergeometric functions and modular forms, of integral as well as half- integral weights, play essential roles in the study of algebraic varieties. In particular, their combinatorial properties are intimately connected with the geometry of Shimura varieties, hypergeometric varieties, which are generalizations of the Legendre curves, and Calabi-Yau varieties, which can be viewed as higher-dimensional analogs of elliptic curves, at least from the point of view of mirror symmetry. In this workshop, we'd like to celebrate the important contributions of Noriko Yui in these topics, and showcase recent contributions of junior researchers. In particular, we would like to explore in this mini-workshop how to compute, both theoretically and computationally, the fundamental invariants of the above-mentioned types of algebraic varieties, such as Galois representations, L-functions, and periods. This workshop follows in the wake of last year's conference on applications of automorphic forms in number theory and combinatorics, promoting the study of number theory in Louisiana and in the South.
| Luca Candelori | Louisiana State University |
| Will Chen | Pennsylvania State University |
| Yara Elias | McGill University |
| Cameron Franc | University of Michigan |
| Jerome William Hoffman | Louisiana State University |
| Jennifer Li | Louisiana State University |
| Ling Long | Louisiana State University |
| Victor Moll | Tulane University |
| Alexander Molnar | Queen's University |
| Jorge Morales | Louisiana State University |
| Fan-Ting Tu | National Center for Theoretical Sciences in Taiwan |
| Yunyun Yang | Louisiana State University |
| Noriko Yui | Queen's University |
| Luca Candelori | Louisiana State University |
| Jennifer Li | Louisiana State University |
| Ling Long | Louisiana State University |
| Robert Perlis | Louisiana State University |
The Number Theory Foundation
Microsoft Research
LSU Department of Mathematics