Mathematics Dept.
  Events
Tye Lidman
Wed 3 Oct 2018, 3:15pm
Topology and related seminars
Wed 3 Oct 2018, 3:15pm-4:15pm

Abstract

 
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Joe Yuichiro Wakano
School of Interdisciplinary Mathematical Sciences (IMS), Meiji University
Wed 3 Oct 2018, 3:15pm
Mathematical Biology Seminar
ESB 4127
Derivation of replicator-mutator equation as a limit of individual-based simulations
ESB 4127
Wed 3 Oct 2018, 3:15pm-4:15pm

Abstract

We introduce a Markov chain model to study evolution of a continuous trait based on population genetics. It corresponds to individual-based model which includes frequency dependent selection caused by m-player game interactions and stochastic fluctuations due to random genetic drift and mutation. We prove that under a proper scaling limit as the population size increases the system converges to the solution of replicator-mutator equations. Our result establishes an affirmative mathematical base to the adaptive dynamics formulation employed in the theory of the mathematical biology.

Note for Attendees

 Refreshments (PIMS Tea) are served at 2:45PM in the PIMS lounge.
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Christos Mantoulidis
MIT
Tue 9 Oct 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
MATH 105
Minimal surfaces and the Allen-Cahn equation on 3 manifolds
MATH 105
Tue 9 Oct 2018, 3:30pm-4:30pm

Abstract

   The Allen--Cahn equation is a semi-linear PDE that produces minimal surfaces via a certain singular limit. We will describe recent work proving index, multiplicity, and curvature estimates in the context of an Allen--Cahn min-max construction in a 3-manifold. Our results imply, for example, that in a 3-manifold with a generic metric, for every positive integer p, there is an embedded two-sided minimal surface of Morse index p. This is joint with Otis Chodosh.
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Oregon
Mon 15 Oct 2018, 4:00pm
Algebraic Geometry Seminar
TBA
TBA
TBA
Mon 15 Oct 2018, 4:00pm-5:00pm

Abstract

 TBA
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University of Toronto
Fri 19 Oct 2018, 4:00pm
Department Colloquium
ESB 2012
CRM-Fields-PIMS prize lecture: TBA
ESB 2012
Fri 19 Oct 2018, 4:00pm-5:00pm

Abstract

TBA

Note for Attendees

Refreshments will be served in ESB 4133 from 2:45 p.m.-3:00 p.m.
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