Sponsored by the UW Department of Mathematics and the Pacific Institute for the Mathematical Sciences.
April 29, 2016 at 2:30pm MEB 248 

Anthony VarillyAlvarado Rice University 
TBA 


April 22, 2016 at 2:30pm MEB 248 

June Huh Princeton University 
TBA 


April 1, 2016 at 2:30pm MEB 248 

Katherine E. Stange University of Colorado, Boulder 
TBA 


March 4, 2016 at 2:30pm MEB 248 

Dusa McDuff Barnard College 
TBA 


February 12, 2016 at 2:30pm MEB 248 

Brian Conrad Stanford University 
The ABC Conjecture 
The ABC Conjecture, formulated in the mid1980's by Oesterlé and Masser, is one of the most important conjectures in number theory. It has many deep consequences, but its basic formulation can be given in entirely elementary terms. In September 2012, a 500page solution was announced by Shinichi Mochizuki (building on several thousand pages of work that he has carried out over the last 20 years). I will explain what the conjecture asserts, some evidence that supports it, a few of its consequences, and some of the circumstances surrounding the evaluation of the proof by the number theory community. 

November 20, 2015 at 2:30pm SIG 225 

Jennifer McLoudMann University of Washington, Bothell 
iBlock Transitive Tilings by Convex Pentagons 
This talk will concern tilings of the plane by polygons. A tiling (or tessellation) of the plane is a covering of the plane by shapes (called the tiles of the tiling) in which the interiors of the tiles are disjoint. In particular, in this talk we will discuss monohedral tilings by convex polygons; that is, tilings in which all tiles are congruent to a single convex polygon. Convex ngons admitting tilings of the plane have been classified for all n ≠ 5. We will discuss the history of the search for all convex pentagons that tile the plane and our recent contribution to this longstanding unsolved problem. 

November 13, 2015 at 2:30pm SIG 225 

Sham M. Kakade University of Washington 
Tensor Decomposition Approaches for Learning Mixture Models 
In many applications, we face the challenge of modeling the interactions between multiple observations and hidden causes; such problems range from clustering points in space to document retrieval, where we seek to model the underlying topics, to community detection in social networks. The (unsupervised) learning problem is to accurately estimate the model (e.g. the the underlying clusters, hidden topics, or the hidden communities in a social network) with only samples of the observed variables. In practice, many of these models are fit with local search heuristics. This talk will show how (provably accurate) tensor based approaches provide closed form estimation methods for a wide class of these models. 

October 16, 2015 at 2:30pm SIG 225 

Ivan Corwin Columbia University and the Clay Mathematics Institute 
A Drunk Walk in a Drunk World 
In a simple symmetric random walk on Z a particle jumps left or right with 50% chance independently at each time and space location. What if the jump probabilities are taken to be random themselves (e.g. uniformly distributed between 0% and 100%)? In this talk we will describe the effect of this random environment on a random walk, in particular focusing on a new connection to the KardarParisiZhang universality class and to the theory of quantum integrable systems. No prior knowledge or background will be expected. 

October 2, 2015 at 2:30pm SIG 225 

Amnon Yekutieli Ben Gurion University 
Nonabelian Multiplicative Integration on Surfaces 
Nonabelian multiplicative integration on curves is a classical theory, going back to Volterra in the 19th century. In differential geometry this operation can be interpreted as the holonomy of a connection along a curve. In probability theory this is a continuoustime Markov process. 
The University of Washington is committed to providing access, equal opportunity and reasonable accommodation in its services, programs, activities, education and employment for individuals with disabilities. To request disability accommodation contact the Disability Services Office at least ten days in advance at: 206.543.6450/V, 206.543.6452/TTY, 206.685.7264 (FAX), or email at dso@u.washington.edu.