Archived Events

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Student seminar on higher categories [2]

Posted in

Seminar [3]

Date:

Fri, 2013-04-26 13:30 - Fri, 2013-07-19 15:00

Location:

MPIM Lecture Hall [4]

Parent event:

Classification of Topological 4-manifolds (Semester on 4-manifolds) [5]

Details:

Program [6] and Abstracts [7] of Student seminar on higher categories

Course Description:

We want to understand the comparison problem in higher category theory, i.e. for structures which have objects, 1-morphisms, 2-morphisms, etc. Higher categories have arisen in many areas of mathematics, as well as in formalisms for quantum field theory. There are many alternative models for higher categories and the goal of this course is to understand some of them and their inter-relationships.

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Introduction to Quasicategories [8]

Posted in

Talk [9]

Speaker:

Christian Wimmer

Date:

Fri, 2013-04-26 13:30 - 15:00

Location:

MPIM Lecture Hall [4]

Parent event:

Student seminar on higher categories [2]

Basic

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Introduction to geometry and physics of knot homologies, IV [10]

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Talk [9]

Speaker:

Sergei Gukov

Date:

Fri, 2013-04-26 10:30 - 12:00

Location:

MPIM Lecture Hall [4]

Parent event:

Lecture Series on 4-manifolds [11]

http://people.mpim-bonn.mpg.de/teichner/Math/4-Manifolds.html

Video:

20130426_gukov4a.mp4 [12]

20130426_gukov4b.mp4 [13]

A new (computer-friendly) approach to Morse--Novikov theory [14]

Posted in

Talk [9]

Speaker:

Dan Burghelea

Affiliation:

The Ohio St. U/MPI

Date:

Thu, 2013-04-25 15:00 - 16:00

Location:

MPIM Lecture Hall [4]

Parent event:

MPI-Oberseminar [15]

Some aspects of exceptional collections on (rational) surfaces [16]

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Talk [9]

Speaker:

Markus Perling

Affiliation:

z.Z. MPI

Date:

Thu, 2013-04-25 10:30 - 12:00

Location:

MPIM Lecture Hall [4]

Parent event:

Seminar Algebraic Geometry (SAG) [17]

Introduction to geometry and physics of knot homologies, III [18]

Posted in

Talk [9]

Speaker:

Sergei Gukov

Date:

Wed, 2013-04-24 16:30 - 18:00

Location:

MPIM Lecture Hall [4]

Parent event:

Lecture Series on 4-manifolds [11]

http://people.mpim-bonn.mpg.de/teichner/Math/4-Manifolds.html

Video:

20130424_gukov3a.mp4 [19]

20130424_gukov3b.mp4 [20]

Finite Quadratic Modules and Weil Representations over Number Fields [21]

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Talk [9]

Speaker:

Hatice Boylan

Affiliation:

MPI

Date:

Wed, 2013-04-24 14:15 - 15:15

Location:

MPIM Lecture Hall [4]

Parent event:

Number theory lunch seminar [22]

In the study of Hilbert, Jacobi and orthogonal modular forms
of low weight over number fields it is essential to understand the
representations of Hilbert modular groups or of certain two-fold
central extensions. In the case of the field of natural numbers it is
known that the key to the study of all representations of the modular
group $SL(2,Z)$ which are interesting in the mentioned context are
the Weil representations associated to finite quadratic modules. In
analogy to the case of the field of rational numbers we developed a

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Descent for $n$-Bundles [23]

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Talk [9]

Speaker:

Jesse Wolfson

Affiliation:

Northwestern University

Date:

Wed, 2013-04-24 10:30 - 12:00

Location:

MPIM Lecture Hall [4]

Parent event:

Higher Differential Geometry Seminar [24]

We study principal bundles for strict Lie $n$-groups over simplicial manifolds. Given a Lie group $G$, one can construct a principal $G$-bundle on a manifold $M$ by taking a cover $U$ of $M$, specifying a transition cocycle, and then quotienting $U\times G$ by the equivalence relation generated by the cocycle. We demonstrate the existence of an analogous construction for arbitrary strict Lie $n$-groups. As an application, we show how our construction leads to a simple finite dimensional model of the Lie 2-group String($n$).

The Witten genus and topological modular forms [25]

Posted in

Talk [9]

Speaker:

Justin Noel

Affiliation:

MPI

Date:

Tue, 2013-04-23 15:00 - 16:00

Location:

MPIM Lecture Hall [4]

Parent event:

Seminar on Algebra, Geometry and Physics [26]

I will give a fairly high level introduction to topological modular forms (Tmf) and their relationship to the Witten genus. Tmf was constructed, in part, as the target of a cohomological lift of Witten genus. The Witten genus assigns a modular form to a string manifold and this assignment is invariant under string bordism. This is analogous to the A-hat genus which assigns to a spin manifold an elliptic operator which, in turn, defines a formal difference of vector spaces. Moreover the A-hat genus is invariant under spin bordism.