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Khovanov homology and its generalizations (Semester on 4-manifolds)

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Date: 
Wed, 2013-06-19 16:30 - Fri, 2013-06-28 12:00
Location: 
MPIM Lecture Hall

Khovanov homology and its generalizations

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Speaker: 
Catharina Stroppel
Date: 
Wed, 2013-06-19 16:30 - 18:00
Location: 
MPIM Lecture Hall

Topos Theory

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Speaker: 
D. Carchedi
Date: 
Wed, 2013-06-19 16:15 - 18:00
Location: 
MPIM Seminar Room

The 3x+1 Problem: Status and Recent Work

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Speaker: 
Marc Chamberland
Affiliation: 
Grinnell College
Date: 
Wed, 2013-06-19 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar
The 3x+1 Problem is a long-standing conjecture. Let T be 
a map from the positive integers into itself, where T(x)=x/2 if x is even 
and T(x) = (3x+1)/2 if x is odd. The conjecture asks whether, under 
iteration of the map T, any positive integer eventually reaches the value 
one. This talk gives a survey of the various approaches and results, 
intersecting areas such as number theory, dynamical systems, and 
functional equations. The speaker's approach involving generating
functions is also presented.

Torsion (of a manifold) as a function on the variety of representations (of its fundamental group)

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Speaker: 
Dan Burghelea
Affiliation: 
MPIM / Ohio State
Date: 
Wed, 2013-06-19 10:30 - 12:00
Location: 
MPIM Lecture Hall

I will describe an invariant for a smooth manifold with some additional topological structure. This will be a meromorphic function on the algebraic set of complex representations of its fundamental group defined using either spectral geometry (of a Riemannian metric) or a triangulation or the dynamics of a nice vector field.

Kirillov-Reshetikhin crystals, Macdonald polynomials, affine Demazure characters, and combinatorial models

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Speaker: 
Cristian Lenart
Affiliation: 
State U NY at Albany, College of Arts and Sciences/MPI
Date: 
Tue, 2013-06-18 14:00 - 15:00
Location: 
MPIM Lecture Hall

In recent work with S. Naito, D. Sagaki, A. Schilling, and M. Shimozono, we show that in all untwisted affine types the specialization of a Macdonald polynomial at t=0 is the graded character of a tensor product of one-column Kirillov-Reshetikhin (KR) modules.

Good fundamental groups and the A-B slice conjecture

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Speaker: 
Slava Krushkal
Date: 
Tue, 2013-06-18 10:30 - 12:00
Location: 
MPIM Lecture Hall

Good fundamental groups and the A-B slice conjecture

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Speaker: 
Slava Krushkal
Date: 
Mon, 2013-06-17 16:30 - 18:00
Location: 
MPIM Lecture Hall

Green's functions on Riemann surfaces III

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Speaker: 
Don Zagier
Date: 
Mon, 2013-06-17 12:00 - 13:30
Location: 
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

Kan extensions for quasicategories

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Speaker: 
Kim Nguyen
Date: 
Fri, 2013-06-14 13:30 - 15:00
Location: 
MPIM Lecture Hall

 

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