On some random media models

Speaker: 

Knut Solna

Institution: 

University of California, Irvine

Time: 

Friday, October 11, 2013 - 4:00pm

Location: 

MSTB 120

I will discuss some situations when uncertainty in model parameters motivates modeling in terms of random functions. Moreover, some about what is involved in the analysis of such problems. In the first example I consider a problem in mathematical finance, while in the second I consider a problem regarding waves propagating through very complex media.

From prime distribution in arithmetic progression to modern number theory

Speaker: 

Liang Xiao

Institution: 

UC Irvine

Time: 

Friday, May 17, 2013 - 4:00pm

Location: 

MSTB 120

To start, I will discuss Dirichlet's proof of infinitude of primes in an arithmetic progression.  This leads up to the study of special values of L-functions and their arithmetic properties.  If time permits, I will try to explain some conjectures and philosophy in this direction.

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