Title	Hecke operators on vector-valued modular forms
Creator	Joshi, Aniket
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-05-02T11:11
Description	We study Hecke operators on vector-valued modular forms (vvmfs) for the Weil representation of a lattice $L$. In particular, we construct Hecke operators that map vector-valued modular forms (vvmfs) of a lattice $L$ to those of the same lattice $L$, and also Hecke operators that map vvmfs to those of a rescaled lattice. The components of these Hecke operators have appeared in [Comm. Math. Phys. 350 (2017), 1069-1121] as generating functions for D4-D2-D0 bound states on K3-fibered Calabi-Yau threefolds. We study algebraic relations satisfied by the Hecke operators and compare our operators with the alternative construction of Bruinier-Stein. This is joint work done with V. Bouchard and T. Creutzig.
Extent	15.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Alberta
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-10-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394872
URI	http://hdl.handle.net/2429/76424
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos