Wednesdays, 7:30pm; Room 507, Mathematics
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Date  Speaker  Title  Abstract 
September 12 
Shizhang Li

Hypergeometric Series and Igusa's Formula 
Consider a 2nd order ODE: $z(1z)f'' + (12z)f'  (1/4) f = 0$ known as hypergeometric differential equation. In the first part of my talk, I will briefly discuss it's solution found by Euler and studied systematically by Gauss known as Gauss hypergeometric series. Then, in the second part of my talk, I will discuss some seemingly completely unrelated formula (Igusa's formula) about counting points of Elliptic curves over characteristic $p$ (of Legendre form). For the rest of the talk, I will try to tell the audience why and how these two things are related.

September 19 
Semen Rezchikov

Feynman Diagram Techniques 
There is no reason why Feynman diagrams couldn't be taught in an advanced calculus class. I will discuss something actually useful: how to compute asymptotic series for certain exponential integrals. We will start with one variable, where the asymptotic series will be sums over graphs, and try to get to matrix integrals (the Feynman diagrams for which involve surfaces boundary, i.e. `interacting strings').

September 26 
Ben Church



October 3 
Alex Pieloch



October 10 
Henry Liu



October 17 



October 24 



October 31 
Stanislav Atanasov



November 7 
Maithreya Sitaraman



November 14 



November 21 

No meeting 
Thanksgiving Break

November 28 



December 5 



December 13 

No meeting 
Reading Week
