Algebra and Number Theory Seminar Winter 2020
Friday, January 10th, 2020
no talk
Friday, January 17th, 2020
no talk
Friday, January 24th, 2020
no talk
Friday, January 31st, 2020
no talk
Monday, February 3rd, 2020
Michael Mertens, RWTH Aachen University
Weierstrass mock modular forms and vertex operator algebras
Using techniques from the theory of mock modular forms and harmonic Maaß forms, especially Weierstrass mock modular forms, we establish several dimension formulas for certain holomorphic, strongly rational vertex operator algebras, complementing previous work by van Ekeren, Möller, and Scheithauer. As an application, we show that certain special values of the completed Weierstrass zeta function are rational. This talk is based on joint work with Lea Beneish.
Friday, February 7th, 2020
no talk
Friday, February 14th, 2020
TBA
Friday, February 21st, 2020
TBA
Friday, February 28th, 2020
Deniz Yilmaz, UCSC
The A-fibered Burnside Ring as A-fibered Biset Functor in Characteristic Zero
Let A be an abelian group and let 𝕂 be a field of characteristic zero containing roots of unity of all orders equal to finite element orders in A. We will talk about the A-fibered Burnside ring functor as an A-fibered biset functor over 𝕂. We describe the lattice of subfunctors of the A-fibered Burnside ring functor. If time permits, we will also describe the composition factors of this functor. This is joint work with Robert Boltje.
Friday, March 6th, 2020
TBA