# 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**