Ancient solutions to geometric flows

05/04/2016 - 13:30
05/04/2016 - 14:30
Speaker: 
Panagiota Daskalopoulos, Columbia University
Location: 
McGIll University, Burnside 920
Abstract: 

 We will discuss ancient solutions to geometric flows such as the Mean Curvature flow,
Ricci flow and Yamabe flow. We will discuss the classification of ancient or eternal solutions
as well as the construction of ancient solutions from the gluing is solitons.

Last edited by on Fri, 04/29/2016 - 16:32

Dimers and Geometry

05/03/2016 - 15:30
05/03/2016 - 16:30
Speaker: 
Richard Kenyon, Brown University
Location: 
Seminar Physique Mathématique CRM, UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, salle 4336
Abstract: 

 The Kasteleyn matrix (whose determinant enumerates dimer covers of a planar graph) has a geometric interpretation as the differential of a certain mapping involving planar tilings. This observation has several topological consequences, for example one can show that the space of convex embeddings (embeddings with convex faces) in R^2 of a planar graph with pinned boundary is homeomorphic to a ball. We discuss this and similar topological results, as well as results on random embeddings and their limit shapes, and underlying integrable structures.

Last edited by on Fri, 04/29/2016 - 16:31

Why conservation biology needs mathematics

05/06/2016 - 00:00
05/06/2016 - 23:59
Location: 
Université de Montréal, Pavillon Jean-Coutu, 2940, chemin de Polytechnique, salle S1-111 (salle Apotex)
Abstract: 

http://www.crm.umontreal.ca/Peacock/index.php

Last edited by on Fri, 04/29/2016 - 16:30

Les mathématiques au service de l'environnement - 11e édition des 24 heures de science

05/06/2016 - 00:00
05/06/2016 - 23:59
Location: 
au Pavillon Claire-McNicoll 2900, CHEMIN DE LA TOUR et et au Pavillon Jean-Coutu 2940, CHEMIN DE POLYTECHNIQUE
Abstract: 

 http://crm.umontreal.ca/2016/science24heures2016/index.php

 

Last edited by on Fri, 04/29/2016 - 16:27

Molecules and Laser Fields - An Honorary André Bandrauk Symposium

05/04/2016 - 00:00
05/07/2016 - 23:59
Location: 
Orford Hôtel Chéribourg, Magog
Abstract: 

Le Web site: https://emmanuellorin.files.wordpress.com/2015/11/moleculeslaserfields_symposium.pdf

Organizers : 

Catherine Lefebvre (INRS)
François Légaré (Institut National de la Recherche Scientifique (INRS))
Emmanuel Lorin de la Grandmaison (Carleton University)
T. Tung Nguyen-Dang (Université Laval)

 

Last edited by on Fri, 04/29/2016 - 16:29

La profondeur dans les groupes de Coxeter classiques

04/29/2016 - 13:30
04/29/2016 - 14:30
Speaker: 
Riccardo Biagioli, Université Claude Bernard, Lyon 1
Location: 
201, av. du Président-Kennedy, LOCAL PK-4323, Montréal (Qc) H2X 3Y7
Abstract: 

 Je présenterai une nouvelle statistique, appelée profondeur, définie récemment par Petersen et Tenner pour tout groupe de Coxeter $W$. La profondeur d'un élément $w$ de $W$ est égale au coût minimal d'un chemin valué partant de l’identité et finissant à $w$ dans le graphe de Bruhat de $W$, où les arêtes ont un poids donné. Je donnerai des nouveaux résultats sur ce sujet dont des formules explicites pour la profondeur dans les groupes de Coxeter de types $B$ et $D$.

Last edited by on Fri, 04/22/2016 - 14:04

Analysis of exact solutions for the p+ip pairing model

04/26/2016 - 13:30
04/26/2016 - 14:30
Speaker: 
Jon LINKS, University of Queensland, Brisbane, Australia
Location: 
CRM, UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, salle 4336
Abstract: 

 The p+ip pairing model arises in studies of superconductivity. I will analyse this the model from the perspective of exact Bethe Ansatz solutions. A main result of this study is that for the attractive system there is a region in parameter space whereby all states occur as partial condensates of hole-pairs.

Last edited by on Fri, 04/22/2016 - 14:02

The Turan number of a family of graphs

04/25/2016 - 16:00
04/25/2016 - 17:00
Speaker: 
Tao Jiang, Miami University
Location: 
McGill University, 805 rue Sherbrooke O, salle/room Burnside 1205
Abstract: 

 Given a graph G, the Turan number ex(n,G) is defined to be the maximum number of edges in a graph on n vertices which does not contain G as a subgraph. The Turan number of a family of graphs is defined analogously. We are interested in the Turan number of the family of the graphs with average degree at least d and order at most t (denoted by F_{d,t}). We further assume dgeq 2. Note that determining the Turan number ex(n,F_{d,t}) may be viewed as a generalization of the well-known girth problem which asks for the maximum size of an n-vertex graph not containing a cycle of length less than g. Indeed, the girth problem may be viewed as the determination of ex(n, F_{2,t}). Random graphs give a lower bound on the Turan number of F_{d,t} of order Omega(n^{2-2/d). For integers dgeq 2, we give an almost matching upper bound of O(n^{2-2/d+c_{d,t}}) where c_{d,t} goes to 0 as t goes to infinity. This partially answers a question of Verstraete. As one ingredient of our proof, we establish a generalization of the well-known theorem on the Turan number of a cube. This is joint work with A. Newman. We will also mention some related Turan problems for bipartite graphs.

Last edited by on Fri, 04/22/2016 - 13:55

Ancient solutions to geometric flows

05/04/2016 - 13:30
05/04/2016 - 14:30
Speaker: 
Panagiota Daskalopoulos (Columbia University)
Location: 
Room 920 Burnside Hall
Abstract: 

 We will discuss ancient solutions to geometric flows such as the Mean Curvature flow, Ricci flow and Yamabe flow. We will discuss the classification of ancient or eternal solutions as well as the construction of ancient solutions from the gluing is solitons.

Last edited by on Thu, 04/21/2016 - 14:23

Applied Quantum Calculus

04/20/2016 - 15:30
04/20/2016 - 16:30
Speaker: 
Sengul Nalci Tümer, Izmir Institute of Technology, TURKEY
Location: 
CRM, UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, salle 4336
Abstract: 

 We consider application of quantum calculus to q-extended exactly solvable nonlinear classical and quantum models. By q-Cole-Hopf transformation, nonlinear q-Burgers’ equation is constructed and its solutions as q-shock solitons are found. The results are extended to linear q-Schrödinger equation and nonlinear q-Maddelung fluid.

Then we introduce the q-analytic functions, satisfying q-Cauchy Riemann equations and show that some of them belongs to a class of generalized analytic functions. In terms of these functions we derive quantum q-analytic coherent states and q-analytic Fock Bargmann representation.

Last edited by on Fri, 04/15/2016 - 09:12