Koç University, Mathematics Seminar

Date & Time: Tuesday, April 4, 16:00-17:00

Place: SCI 103

Speaker:  Hatice Boylan, İstanbul University
 

Title: What are Jacobi forms and why are they interesting?

Abstract: The theory of Jacobi forms was created in 80's of the last century by Eichler and Zagier. This theory turned out to have many useful applications ranging from combinatorics over physics and algebraic geometry to number theory. 

In this talk we try to explain the notion of Jacobi forms and its main applications in number theory and arithmetic geometry. In the second part of the talk we indicate recent affords to extend the classical theory to a theory of Jacobi forms over number fields. In particular, we shall explain some recent results on the so-called Jacobi-Eisenstein series over number fields.

Speaker's Brief Biography: Hatice Boylan received her B.Sc. Degree in Mathematics from Boğaziçi University and her M.Sc. Degree in Mathematics from Koç University in 2003 and 2005, respectively. After two years of PhD studies at Bilkent University, she received her PhD degree from Siegen University in Germany in 2011. She had post-doctoral positions at Harish-Chandra Research Institute in Allahabad, India, MSRI in Berkeley, Siegen University in Germany and Max Planck Institute for Mathematics in Bonn. Currently, she is a faculty member at Istanbul University. Her research interests are automorphic forms, in particular, Jacobi forms and Hilbert modular forms; General reciprocity, Hecke Gauss sums; Hilbert modular groups; and Weil representations.