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 Events
UBC
Mon 26 Sep 2016, 3:00pm
Algebraic Geometry Seminar
MATX 1102
Taking roots vs taking logarithms
MATX 1102
Mon 26 Sep 2016, 3:00pm-4:00pm

Abstract

I will report on joint work with D. Carchedi, S. Scherotzke and N. Sibilla, about a comparison between two objects obtained from a fs log scheme over the complex numbers: the "infinite root stack" and the "Kato-Nakayama space". I will also hint at more recent work that explains how parabolic sheaves (with real or rational weights) interact with the picture.
 
I will be as little technical as possible and focus on examples rather than on the general theory.
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Division of Chemistry & Chemical Engineering and Engineering & Applied Science Caltech
Mon 26 Sep 2016, 3:00pm
Institute of Applied Mathematics
ESB 2012
The Swim Pressure of Active Matter
ESB 2012
Mon 26 Sep 2016, 3:00pm-4:00pm

Abstract

One of the distinguishing features of many living systems is their ability to move, to self-propel, to be active. Through their motion, either voluntarily or involuntarily, living systems are able self-assemble: birds flock, fish school, bacteria swarm, etc. But such behavior is not limited to living systems. Recent advances in colloid chemistry have led to the development of synthetic, nonliving particles that are able to undergo autonomous motion by converting chemical energy into mechanical motion and work – chemical swimming. This swimming or intrinsic activity imparts new behaviors to active matter that distinguish it from equilibrium condensed matter systems. For example, active matter generates its own internal pressure (or stress), which can drive it far from equilibrium and free it from conventional thermodynamic constraints, and by so doing active matter can control and direct its own behavior and that of its surroundings. In this talk I will discuss our recent work on swimmers and on the origin of a new source for stress that is responsible for self-assembly and pattern formation in active matter.

Note for Attendees

Tea beforehand in the PIMS lounge (ESB 4133) 
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Laura Cladek
UBC
Mon 26 Sep 2016, 3:00pm
Harmonic Analysis Seminar
MATH 126
Radial Fourier Multipliers
MATH 126
Mon 26 Sep 2016, 3:00pm-4:00pm

Abstract

 
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Seckin Demirbas
UBC
Tue 27 Sep 2016, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
Gibbs' measure and almost sure global well-posedness for one dimensional periodic fractional Schrodinger equation
ESB 2012
Tue 27 Sep 2016, 3:30pm-4:20pm

Abstract

In this talk we will present recent local and global well-posedness results on the one dimensional periodic fractional Schrodinger equation. We will also talk about construction of Gibbs' measures on certain Sobolev spaces and how we can prove almost sure global well-posedness using this construction.
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Foster Tom
UBC
Tue 27 Sep 2016, 4:00pm
Discrete Math Seminar
ESB 4127
Schur-Positivity of Equitable Ribbons
ESB 4127
Tue 27 Sep 2016, 4:00pm-5:00pm

Abstract

 Schur functions form an important basis for the space of symmetric functions and show up in areas from representation theory to quantum mechanics. Given an appropriate diagram of boxes, we construct its corresponding Schur function by counting the numbers of tableaux: fillings of these boxes with positive integers that satisfy some simple conditions. We then form the Schur-positivity partially ordered set by comparing these numbers of tableaux. In this talk, we present some new results of how order relations in this partially ordered set can be derived from properties of the diagrams. We then present some progress toward long-standing conjectures.
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Oregon State University
Wed 28 Sep 2016, 3:00pm
Probability Seminar
ESB 2012
Some probability theory that arises from worrying about Navier-Stokes and other quasilinear equations
ESB 2012
Wed 28 Sep 2016, 3:00pm-4:00pm

Abstract

The success of probability theory in the analysis of linear, or even certain semi-linear,  parabolic and elliptic pde’s is well documented.  In spite of various attempts to find a stochastic foothold for the analysis of Navier-Stokes equations and related quasilinear equations, the problem remains a substantial challenge.  That said, the quest can lead to new stochastic structures and problems that relate to modern probability in fundamental ways.  In this talk I will try to indicate this with a few explicit examples largely stemming from the Lejan-Sznitman multiplicative cascade/branching random walk  framework for Navier-Stokes equations. 
 
This talk is  primarily based on recent joint work with Radu Dascaliuc, Nicholas Michalowski, and Enrique Thomann with partial support from the National Science Foundation. 
 
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University of Illinois, Urbana–Champaign
Wed 28 Sep 2016, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
An equivariant motivic slice filtration
ESB 4133 (PIMS Lounge)
Wed 28 Sep 2016, 3:15pm-4:15pm

Abstract

Mixing Voevodsky's filtration in motivic homotopy and Dugger's in C_2-equivariant homotopy theory leads to an interesting filtration on the C_2-equivariant motivic homotopy category. In this talk, I'll introduce these slice filtrations and talk about some joint work with P. A. Ostvaer, where we compute the resulting zero slice of the equivariant motivic sphere spectrum.


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UBC Math
Fri 30 Sep 2016, 3:00pm
Department Colloquium
ESB 2012
UBC Mathematics and PIMS Faculty Award Colloquium -- On the local Langlands conjectures
ESB 2012
Fri 30 Sep 2016, 3:00pm-4:00pm

Abstract

The Langlands program, initiated in the 1960s, is a set of conjectures predicting a unification of number theory and the representation theory of groups. More precisely, the Langlands correspondence provides a way to interpret results in number theory in terms of group theory, and vice versa.

In this talk we sketch a few aspects of the local Langlands correspondence using elementary examples. We then comment on some questions raised by the emerging "mod p" Langlands program.
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