Algebra and Number Theory Seminar Winter 2020

Fridays - 4pm
McHenry Library Room 4130
For more information please contact Professor Beren Sanders
or call the Mathematics Department at 831-459-2969

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