Organizers: Richard Wentworth (Math), Tristan Hubsch (Physics, Howard Univ.), Jonathan Rosenberg (Math), Amin Gholampour (Math, on leave)
Other Faculty Participants: Joel Cohen (Math, on leave), Paul Green (Math, emeritus)
When: Thursdays @ 3:30pm-4:30pm
Where: PHY 1117 changed to MTH 1308 effective 9/27/18
This interdisciplinary RIT will aim to foster interactions between mathematicians and physicists on topics of mutual interest. It will roughly follow the example of a similar RIT from 2010-2011 and from the last three years. The topic for 2016-17 was mirror symmetry. Topics for 2017-2018 were topological states of matter (fall) and generalized geometry (spring).
It is not assumed that participants already be knowledgeable in both math and physics, just in some aspect of one or the other. Relevant math topics are differential geometry, representation theory, algebraic topology, and algebraic geometry. Relevant physics topics are classical and quantum field theories, and supersymmetry.
The organization meeting for Fall 2018 is scheduled for September 6th. Students (advanced undergraduates or graduate students) who want to participate can get credit as MATH 489 (undergrad) or 689 (graduate) if they wish, by contacting the organizers.
We have a wiki where participants can exchange comments and revise notes. Contact the math/physics computer helpdesk if you need a login id and password.
The topic for fall 2018 is the AdS/CFT correspondence. Here is a list of references to get started:
The topic for fall 2017 is topological states of matter. In no particular order, here is a list of references:
The topic for spring 2018 is generalized geometry and its applications to physics (especially supersymmetry and string theory). We will begin with the first reference listed, Hitchin's notes. Here is a short list of basic references:
Organizers: Ricardo Nochetto, Wujun Zhang
When: Wednesdays @ 5pm-6pm, starting the first week of February
Where: room TBA
Subtitle: PDE theory and numerical analysis
Fully nonlinear second order elliptic PDEs arise naturally from differential geometry, stochastic control theory, optimal transport and other fields in science and engineering. In this RIT, we will discuss the concept of viscosity solutions and regularity theory of these PDEs. Some possible topics include:
In contrast to an extensive PDE literature, the numerical approximation reduces to a few papers. We would like to discuss some criteria for designing convergent numerical methods and some tools developed recently which are useful to obtain rates of convergence. Some possible topics include:
Organizers: Niranjan Ramachandran, Dio Margetis, and Leo Koralov
When: Wednesday @ 3:15pm, Tea 2:45pm - 3:15 pm in room 3201
Where: Math 3206
From time to time special colloquia are held on other days, sometimes as part of conferences.
Other special colloquia are the Aziz Lectures and Avron Douglis Memorial Lectures.
Location: Math 3206
Day: Wednesday (with occasional talks Friday)
Time: 3:15pm
Tea: 2:45pm in 3201
Organizers: Giovanni Forni, Harry Tamvakis, Konstantina Trivisa
Sept 14 |
Wonderful compactifications of groups as moduli spaces of principal bundles |
Sept 28 |
An introduction to essential dimension Patrick Brosnan(University of Maryland), |
Oct 21 |
Rigidity of group actions, cohomology and compactness David Fisher (Indiana University, Bloomington), |
Oct 28 |
A Filtration of Open/Closed Topological Field Theory Ezra Getzler (Northwestern University), |
Nov 2 |
Rational billiards and the SL(2,R) action on moduli space Alex Eskin (University of Chicago), |
Nov 9 |
Why and how do we use wavelets to study turbulence? Marie Farge(Directrice de Recherche CNRS) |
Nov 16 |
Mixed volume computation and solving polynomial systems Tien-Yien Li (Michigan State University), |
Dec 2 |
Optimal and Practical Algebraic Solvers for Discretized PDEs - Aziz Lecture Jinchao Xu (Pennsylvania State University), |
Dec 7 |
DMS to THRIVE Sastry G. Pantula(National Science Foundation) |
Feb 8 |
On the rigidity of black holes - Douglis Lecture Sergiu Klainerman(Princeton University ) |
Feb 17 |
Product formulas for positive measures and applications - February Fourier Talks Peter Jones(Yale University), |
Feb 22 |
Semismooth Newton Methods: Theory, Numerics and Applications - Aziz Lecture Michael Hintermüller (Humboldt University, Berlin), |
Feb 29 |
On the size of the Navier - Stokes singular set Walter Craig (McMaster University), |
Mar 14 |
De Giorgi methods applied to regularity issues in Fluid Mechanics Alexis Vasseur (UT Austin ) |
Mar 30 |
Birkhoff Normal Form and a problem of Herman - Dynamics Conference Hakan Eliasson (University of Paris-6 and IAS), |
Apr 25 |
Lyapunov Functions: Towards an Aubry-Mather theory for homeomorphisms? Albert Fathi (ENS-Lyon), |
May 2 |
Contractions of Lie Groups and Representation Theory Nigel Higson (Penn State University), cancelled |
May 9 |
The Pfaffian-Grassmannian Derived Equivalence Andrei Caldărăru (University of Wisconsin, Madison), |
This area includes information on research done in the department, seminars and conferences hosted by the department, as well as access to electronic research resources.
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