Mathematics

Algebraic groups and maximal tori

Submitted by root on Mon, 2015-03-23 16:01
Speaker: 
Vladimir Chernousov
Date: 
Mon, Mar 23, 2015
Location: 
PIMS, University of British Columbia
Conference: 
Geometry and Physics Seminar
Abstract: 

We will survey recent developments dealing with characterization of absolutely almost simple algebraic groups having the same isomorphism/isogeny classes of maximal tori over the field of definition. These questions arose in the analysis of weakly commensurable Zariski-dense subgroups. While there are definitive  results over number fields (which we will briefly review), the  theory over general fields is only emerging. We will formulate the  existing conjectures, outline their potential applications, and  report on recent progress. Joint work with A. Rapinchuk and  I. Rapinchuk.

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Class: 
Scientific
Subject: 
Mathematics
Algebraic Geometry

Mirror Symmetry and the Classification of Fano Manifolds

Submitted by root on Mon, 2015-03-16 16:32
Speaker: 
Tom Coates
Date: 
Mon, Mar 16, 2015
Location: 
PIMS, University of British Columbia
Conference: 
Geometry and Physics Seminar
Abstract: 

TBA

Embedded Video: 
File Geometry and Physics Seminar
Class: 
Scientific
Subject: 
Mathematics

Adam Clay Lecture 1 of 2

Submitted by root on Mon, 2015-03-16 15:53
Speaker: 
Adam Clay
Date: 
Mon, Feb 23, 2015
Location: 
PIMS, University of British Columbia
Abstract: 

This lecture is part of a course organized by Dale Rolfsen.

Embedded Video: 
File Adam Clay lecture for Dale Rolfsen's course 1 of 2
Class: 
Scientific
Subject: 
Mathematics
Differential Geometry and Geometric Analysis

The Mathematics of Lattice-based Cryptography

Speaker: 
Jill Pipher
Date: 
Fri, Mar 13, 2015
Location: 
PIMS, University of British Columbia
Abstract: 

TBA

Class: 
Scientific
Subject: 
Mathematics
Computer Science

Adam Clay Lecture 2 of 2

Speaker: 
Adam Clay
Date: 
Tue, Feb 24, 2015
Location: 
PIMS, University of British Columbia
Abstract: 

This lecture is part of a course organized by Dale Rolfsen.

Class: 
Scientific
Subject: 
Mathematics
Differential Geometry and Geometric Analysis

Economies with Financial Frictions: A Continuous Time Approach 3

Speaker: 
Yuliy Sannikov
Date: 
Fri, Jul 25, 2014
Location: 
PIMS, University of British Columbia
Conference: 
The Economics and Mathematics of Systemic Risk and Financial Networks
Abstract: 

The recent financial crisis has made obvious the need for models of financial stability. These three lectures will cover recent advancements in the modeling of crisis episodes, with particular emphasis on the use of continuous-time methods which make these models more tractable. Useful background reading includes the following

Class: 
Scientific
Subject: 
Mathematics
Econometrics
Applied Mathematics

Economies with Financial Frictions: A Continuous Time Approach 2

Speaker: 
Yuliy Sannikov
Date: 
Thu, Jul 24, 2014
Location: 
PIMS, University of British Columbia
Conference: 
The Economics and Mathematics of Systemic Risk and Financial Networks
Abstract: 

The recent financial crisis has made obvious the need for models of financial stability. These three lectures will cover recent advancements in the modeling of crisis episodes, with particular emphasis on the use of continuous-time methods which make these models more tractable. Useful background reading includes the following

Class: 
Scientific
Subject: 
Mathematics
Econometrics
Applied Mathematics

Economies with Financial Frictions: A Continuous Time Approach

Speaker: 
Yuliy Sannikov
Date: 
Wed, Jul 23, 2014
Location: 
PIMS, University of British Columbia
Conference: 
The Economics and Mathematics of Systemic Risk and Financial Networks
Abstract: 

The recent financial crisis has made obvious the need for models of financial stability. These three lectures will cover recent advancements in the modeling of crisis episodes, with particular emphasis on the use of continuous-time methods which make these models more tractable. Useful background reading includes the following

Class: 
Scientific
Subject: 
Mathematics
Econometrics
Applied Mathematics

Contingent Capital and FInancial Networks 2

Speaker: 
Paul Glasserman
Date: 
Wed, Jul 23, 2014
Location: 
PIMS, University of British Columbia
Conference: 
The Economics and Mathematics of Systemic Risk and Financial Networks
Abstract: 

These lectures will cover two topics. The first is contingent capital in the form of debt that converts to equity when a bank 
nears financial distress. These instruments offer a potential solution to the problem of banks that are too big to fail by 
providing a credible alternative to a government bail-out. Their properties are, however, complex. I will discuss models for the analysis of contingent capital with particular emphasis on their incentive effects and the design of the conversion trigger. The second topic in these lectures is the problem of quantifying contagion and amplification in financial networks. In particular, I will focus on bounding the potential impact of network effects under the realistic condition that detailed information on the structure of the network is unavailable

Class: 
Scientific
Subject: 
Mathematics
Econometrics
Applied Mathematics

Financial Stability 3

Speaker: 
Jean-Charles Rochet
Date: 
Wed, Jul 23, 2014
Location: 
PIMS, University of British Columbia
Conference: 
The Economics and Mathematics of Systemic Risk and Financial Networks
Abstract: 

The lender of last resort: An analysis of the economics and politics of banking crises, and episodes of bail-outs of
failing financial institutions.

  • Rochet Vives (2004) “The Lender of last Resort: was Bagehot right after all?” JEEA, 6, 1116-1147, reprinted in Rochet J.C. (2008) “Why are there so many banking crises?, Princeton University Press, chapter 2
Class: 
Scientific
Subject: 
Mathematics
Econometrics
Applied Mathematics

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