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Khovanov homology and its generalizations (Semester on 4-manifolds) [2]

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Sonstige [3]

Datum:

Mit, 2013-06-19 16:30 - Fre, 2013-06-28 12:00

Location:

MPIM Lecture Hall [4]

Details:

Program [5] and Abstracts [6] of Khovanov homology and its generalizations (Semester on 4-manifolds)

Khovanov homology and its generalizations [7]

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Vortrag [8]

Speaker:

Catharina Stroppel

Datum:

Mit, 2013-06-19 16:30 - 18:00

Location:

MPIM Lecture Hall [4]

Parent event:

Khovanov homology and its generalizations (Semester on 4-manifolds) [2]

Topos Theory [9]

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Vortrag [8]

Speaker:

D. Carchedi

Datum:

Mit, 2013-06-19 16:15 - 18:00

Location:

MPIM Seminar Room [10]

Parent event:

Master's Course on Topos Theory [11]

The 3x+1 Problem: Status and Recent Work [12]

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Vortrag [8]

Speaker:

Marc Chamberland

Zugehörigkeit:

Grinnell College

Datum:

Mit, 2013-06-19 14:15 - 15:15

Location:

MPIM Lecture Hall [4]

Parent event:

Number theory lunch seminar [13]

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) [14]

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Vortrag [8]

Speaker:

Dan Burghelea

Zugehörigkeit:

MPIM / Ohio State

Datum:

Mit, 2013-06-19 10:30 - 12:00

Location:

MPIM Lecture Hall [4]

Parent event:

Higher Differential Geometry Seminar [15]

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 [16]

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Vortrag [8]

Speaker:

Cristian Lenart

Zugehörigkeit:

State U NY at Albany, College of Arts and Sciences/MPI

Datum:

Die, 2013-06-18 14:00 - 15:00

Location:

MPIM Lecture Hall [4]

Parent event:

Seminar on Algebra, Geometry and Physics [17]

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.