UIUC Dept. of Mathematics Seminar Calendar

      July 2012             August 2012           September 2012   
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
  1  2  3  4  5  6  7             1  2  3  4                      1
  8  9 10 11 12 13 14    5  6  7  8  9 10 11    2  3  4  5  6  7  8
 15 16 17 18 19 20 21   12 13 14 15 16 17 18    9 10 11 12 13 14 15
 22 23 24 25 26 27 28   19 20 21 22 23 24 25   16 17 18 19 20 21 22
 29 30 31               26 27 28 29 30 31      23 24 25 26 27 28 29
                                               30

Tuesday, August 28, 2012

Number Theory Seminar
11:00 am in 241 Altgeld Hall, Tuesday, August 28, 2012

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Submitted by ford.

Zhi-Wei Sun (Nanjing University)
Various new observations about primes
Abstract: This talk focuses on the speaker's recent discoveries about primes. We will talk about the speaker's new way to generate all primes or primes in certain arithmetic progressions, and his various conjectures for products of primes, sums of primes, recurrence for primes, representations of integers as alternating sums of consecutive primes. We will also mention his new observations (made in this August at UIUC) about twin primes, squarefree numbers, and primitive roots modulo primes.

Probability Seminar
2:00 pm in Altgeld Hall 347, Tuesday, August 28, 2012

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Submitted by kkirkpat.

David Anderson (UW-Madison)
Computational methods for stochastically modeled biochemical reaction networks
Abstract: I will focus this talk on computational methods for stochastically modeled biochemical reaction networks. The simplest stochastic models of such networks treat the system as a continuous time Markov chain with the state being the number of molecules of each species and with reactions modeled as possible transitions of the chain. I will show how different computational methods can be understood and analyzed by using different representations for the processes. Topics discussed will be a subset of: approximation techniques, variance reduction methods, parameter sensitivities.

Algebraic Geometry Seminar
3:00 pm in 243 Altgeld Hall, Tuesday, August 28, 2012

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Submitted by choi29.

Julius Ross (University of Cambridge)
Maps in Kahler Geometry associated to Okounkov Bodies
Abstract: The Okounkov body is a convex body in Euclidean space that can be associated to a projective manifold with a given flag of submanifolds. This convex body generalises certain aspects of the familiar Delzant polytope for toric varieties, although the Okounkov body will not be polyhedral or rational in general. In this talk I will discuss some joint work with David Witt-Nystrom that involves the study of maps from a manifold to its Okounkov body coming from Kahler geometry that are similar to the moment map in toric geometry. I will start by introducing the Okounkov body and the kind of maps that one might like to have, and then give an inductive construction that works in a neighbourhood of the flag. This is acheived through a homogeneous Monge-Ampere equation associated to the degeneration to the normal cone of a divisor, that can be thought of as a kind of "tubular neighbourhood" theorem in complex geometry.