Spring 2019

** Organizers: ****Anna Marie Bohmann, Rares
Rasdeaconu and Larry Rolen**

** Fridays, 3:10-4:00pm in SC 1310 (unless
otherwise noted) **

__Speaker:__** Joshua
Males, University of Cologne (Germany)**

__Title____:__** Constructing
quantum modular forms of depth two** **
**

__Abstract__**: **Work of Bringmann,
Kaszian and Milas in 2017 introduced the concept of higher
depth quantum modular forms

(qmfs), and therein provided one such example of a qmf of
depth two, related to characters of vertex algebras. In this
talk

we see how to generalise their work to obtain an infinite
family of non-trivial qmfs of depth two. To show this, we
relate our

constructed function F asymptotically to double Eichler
integrals on the lower half plane, and further to
non-holomorphic

theta functions with coefficients given by double error
functions. ** (**Contact Person: Larry Rolen)

Friday, February 22nd

__Speaker:__** Laurentiu
Maxim, University of Wisconsin-Madison**

__Title____:__** Euclidean
distance degree of algebraic varieties ** ** **

__Abstract__**: **The Euclidean
distance degree of an algebraic variety is a well-studied
topic in applied algebra and geometry.

It has direct applications in geometric modeling, computer
vision, and statistics. I will first describe a new
topological

interpretation of the Euclidean distance degree of an affine
variety in terms of Euler characteristics. As a concrete
application,

I will present a solution to the open problem in computer
vision of determining the Euclidean distance degree of the
affine

multiview variety. Secondly, I will present a solution to a
conjecture of Aluffi-Harris concerning the Euclidean distance

degree of projective varieties (Joint work with J. Rodriguez
and B. Wang.) ** (**Contact Person: Rares Rasdeaconu)

__Speaker:__** Kate Ponto,
University of Kentucky**

__Title____:__** Fixed point
invariants are maps** **
**

__Abstract__**: **Thinking about fixed
point invariants as generalizations of the Euler
characteristic suggests structure we would

want these invariants to have - additivity on subcomplexes and
multiplicativity on fibrations being the first examples. Using

classical perspectives this structure can be hard to see (and
may not exist) but if we think of invariants as maps rather
than

numbers (or elements of groups) the desired structure follows
from formal constructions. ** (**Contact Person: Anna Marie Bohmann

** April
13-14th, 2019 Shanks Workshop on Homotopy Theory
**Location: Stevenson
Center 1308 (Contact Person: Anna Marie Bohmann)