Print Friendly printer friendly
 Events
Oregon
Mon 15 Oct 2018, 4:00pm
Algebraic Geometry Seminar
Math 126
Exoflops
Math 126
Mon 15 Oct 2018, 4:00pm-5:00pm

Abstract

The derived category of a hypersurface is equivalent to the 
category of matrix factorizations of a certain function on the total space 
of a line bundle over the ambient space.  The hypersurface is smooth if 
and only if the critical locus of the function is compact.  I will present 
a construction through which a resolution of singularities of the 
hypersurface corresponds to a compactification of the critical locus of 
the function, which can be very interesting in examples.  This is joint 
work with Paul Aspinwall and Ed Segal.
hide
UBC
Tue 16 Oct 2018, 4:00pm
Discrete Math Seminar
ESB 4127
(0,1,2)-matrices can sometimes behave like (0,1)-matrices
ESB 4127
Tue 16 Oct 2018, 4:00pm-5:00pm

Abstract

 This is joint work with Jeffrey Dawson, Linyuan Lu and Attila Sali.
 
We define simple matrices as those whose entries are chosen from {0,1,2} and for which no columns are repeated.  We consider the extremal problem of how many columns can an m-rowed simple matrix A have, subject to the condition that A avoids certain submatrices.  
 
We consider some forbidden submatrices (configurations) that seem to force A to behave like a (0,1)-matrix.  Define T_k(a,b,c) to be the kxk matrix with b's on the diagonal, a's below the diagonal and c's above the diagonal. These generalize the identity and triangular matrices. There are such 8 matrices to forbid which seem to force A to behave like a (0,1)-matrix. Some preliminary results are given.
 
hide
Universidad Nacional de Colombia sede Medellín
Wed 17 Oct 2018, 2:50pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
Transitionally commutative bundles
ESB 4133 (PIMS Lounge)
Wed 17 Oct 2018, 2:50pm-3:50pm

Abstract

The main goal of this talk is to introduce transitionally commutative principal G-bundles and to show that they can be classified homotopically using a space B_comG that is called the classifying space for commutativity in G. In the second half of the talk I provide some examples of bundles that are trivial as principal G-bundles but not as transitionally commutative bundles.
hide
Dept of Evolutionary Studies of Biosystems, The Graduate University for Advanced Studies (SOKENDAI), Japan
Wed 17 Oct 2018, 3:00pm
Mathematical Biology Seminar
ESB 4127
Allele frequency spectrum in a cancer cell population
University of British Columbia
Wed 17 Oct 2018, 4:00pm
Probability Seminar
ESB 2012
The Dobrushin-Lanford-Ruelle theorem on steroids
ESB 2012
Wed 17 Oct 2018, 4:00pm-5:00pm

Abstract

The Dobrushin-Lanford-Ruelle theorem gives sufficient 
conditions on sets of configurations on the d-dimensional lattice so 
that (1) every measure which maximizes the topological pressure is a 
Gibbs measure and (2) every Gibbs measure maximizes the topological 
pressure. In this talk we shall discuss a generalization of this theorem 
in several directions: the lattice is now an arbitrary countable 
amenable group, we permit the existence of a random environment and 
consider measures that project onto it, and we relax the required 
conditions of (1) to a much larger class of dynamical systems. We shall 
also present a few applications of this theorem.
 
This is joint work with Ricardo Gómez-Aíza, Brian Marcus and Siamak Taati.
hide
University of Toronto
Fri 19 Oct 2018, 4:00pm
Department Colloquium
ESB 2012
CRM-Fields-PIMS prize lecture: The KPZ fixed point
ESB 2012
Fri 19 Oct 2018, 4:00pm-5:00pm

Abstract

The (1d) KPZ universality class contains random growth models, directed random polymers, stochastic Hamilton-Jacobi equations (e.g. the eponymous Kardar-Parisi-Zhang equation). It is characterized by unusual scale of fluctuations, some of which appeared earlier in random matrix theory, and which depend on the initial data. The explanation is that on large scales everything approaches a special scaling invariant Markov process, the KPZ fixed point. It is obtained by solving one model in the class, TASEP, and passing to the limit. Both TASEP and the KPZ fixed point turn out to have a novel structure: "stochastic integrable systems" (Joint work with Konstantin Matetski and Daniel Remenik).

Note for Attendees

Refreshments will be served in ESB 4133 from 3:45 p.m.-4:00 p.m.
hide
 
Top