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Discussion session (Semester on 4-manifolds)

Posted in
Date: 
Tue, 2013-04-09 10:30 - Tue, 2013-05-21 12:00
Location: 
MPIM Lecture Hall
Details: 
Program and Abstracts of Discussion session (Semester on 4-manifolds)

Classification of topological 4-manifolds with infinite fundamental group, 2

Posted in
Speaker: 
Ian Hambleton
Affiliation: 
McMaster U./MPI
Date: 
Mon, 2013-04-08 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Classification of Topological 4-manifolds (Semester on 4-manifolds)
Parent event: 
Lecture Series on 4-manifolds

This talk will be the second part of a survey of ideas and results related to the classification of topological 4-manifolds up to homeomorphism or s-cobordism. In this talk I will assume that the fundamental group is infinite, and discuss (i) geometrically 2-dimsnsional groups, (ii) minimal 4-manifolds with a given fundamental group, and (iii) open problems.

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

Video: 
video/mp4 icon20130408_hambleton2a.mp4
video/mp4 icon20130408_hambleton2b.mp4

IMPRS-seminar on moduli of G-bundles

Posted in
Date: 
Mon, 2013-04-08 14:15 - Fri, 2013-07-19 16:00
Location: 
MPIM Seminar Room
Details: 
Program and Abstracts of IMPRS-seminar on moduli of G-bundles

Introduction and distribution of talks

Posted in
Speaker: 
C. Kaiser
Date: 
Mon, 2013-04-08 14:15 - 15:45
Location: 
MPIM Seminar Room
Parent event: 
IMPRS-seminar on moduli of G-bundles

Classification of topological 4-manifolds with finite fundamental group

Posted in
Speaker: 
Ian Hambleton
Affiliation: 
McMaster U./MPI
Date: 
Fri, 2013-04-05 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Classification of Topological 4-manifolds (Semester on 4-manifolds)
Parent event: 
Lecture Series on 4-manifolds

This talk will be the first part of a survey of ideas and results related to the classification of topological 4-manifolds up to homeomorphism or s-cobordism. In this talk I will assume finite fundamental group, and discuss (i) the algebraic topology of 4-manifolds, (ii) stable versus unstable classification, and (iii) applications to algebraic surfaces.

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

Video: 
video/mp4 icon20130405_hambleton1a.mp4
video/mp4 icon20130405_hambleton1b.mp4

q-series and quantum modular forms

Posted in
Speaker: 
Amanda Folsom
Affiliation: 
Yale Univ./MPI
Date: 
Thu, 2013-04-04 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

While the theory of mock modular forms has seen great advances in the last decade, questions remain. We revisit Ramanujan's last letter to Hardy, and prove one of his remaining conjectures as a special case of a more general result. Quantum modular forms, defined by Zagier, as well as Dyson's combinatorial rank function, the Andrews-Garvan crank function, and mock theta functions, all play key roles.

An approach to the topological classification of 4-manifolds II

Posted in
Speaker: 
Matthias Kreck
Affiliation: 
Univ. Bonn
Date: 
Wed, 2013-04-03 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
Classification of Topological 4-manifolds (Semester on 4-manifolds)
Parent event: 
Lecture Series on 4-manifolds

The starting point is Freedman's disc theorem for 4-manifolds with "good" fundamental group. This has two immediate consequences: The topological s-cobordism theorem and topological surgery in dimension 4. The first reduces the topological classification to the classification up to s-cobordism, the second can be used in constructing topological 4-manifolds. I will introduce into my modified surgery theory which allows a simplified approach to both problems.

Video: 
video/mp4 icon20130403_kreck2a.mp4
video/mp4 icon20130403_kreck2b.mp4

A differential graded approach to derived differential geometry, Part 5

Posted in
Speaker: 
David Carchedi
Affiliation: 
MPIM
Date: 
Wed, 2013-04-03 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Higher Differential Geometry Seminar

An approach to the topological classification of 4-manifolds I

Posted in
Speaker: 
Matthias Kreck
Affiliation: 
Univ. Bonn
Date: 
Tue, 2013-04-02 10:30 - 12:00
Location: 
MPIM Lecture Hall
Parent event: 
Classification of Topological 4-manifolds (Semester on 4-manifolds)
Parent event: 
Lecture Series on 4-manifolds

The starting point is Freedman's disc theorem for 4-manifolds with "good" fundamental group. This has two immediate consequences: The topological s-cobordism theorem and topological surgery in dimension 4. The first reduces the topological classification to the classification up to s-cobordism, the second can be used in constructing topological 4-manifolds. I will introduce into my modified surgery theory which allows a simplified approach to both problems.

Video: 
video/mp4 icon20130402_kreck1a.mp4
video/mp4 icon20130402_kreck1b.mp4

Classification of Topological 4-manifolds (Semester on 4-manifolds)

Posted in
Date: 
Tue, 2013-04-02 10:30 - Fri, 2013-06-28 12:00
Location: 
MPIM Lecture Hall
Details: 
Program and Abstracts of Classification of Topological 4-manifolds (Semester on 4-manifolds)

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

 

 

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Tue, 02 Apr 2013

10:30 - 12:00
MPIM Lecture Hall
Matthias Kreck
An approach to the topological classification of 4-manifolds I
Video 1 Video 2

Wed, 03 Apr 2013

16:30 - 18:00
MPIM Lecture Hall
Matthias Kreck
An approach to the topological classification of 4-manifolds II
Video 1 Video 2

Fri, 05 Apr 2013

10:30 - 12:00
MPIM Lecture Hall
Ian Hambleton
Classification of topological 4-manifolds with finite fundamental group
Video 1 Video 2

Mon, 08 Apr 2013

16:30 - 18:00
MPIM Lecture Hall
Ian Hambleton
Classification of topological 4-manifolds with infinite fundamental group, 2
Video 1 Video 2

Wed, 10 Apr 2013

16:30 - 18:00
MPIM Lecture Hall
Frank Quinn
Pi_1 negligible embeddings in 4-manifolds, and applications

Fri, 12 Apr 2013

10:30 - 12:00
MPIM Lecture Hall
Frank Quinn
Pi_1 negligible embeddings in 4-manifolds, and applications

Wed, 17 Apr 2013

16:30 - 18:00
MPIM Lecture Hall
Sergei Gukov
Introduction to geometry and physics of knot homologies
Video 1 Video 2

Mon, 22 Apr 2013

16:30 - 18:00
MPIM Lecture Hall
Sergei Gukov
Introduction to geometry and physics of knot homologies, II
Video 1 Video 2

Wed, 24 Apr 2013

16:30 - 18:00
MPIM Lecture Hall
Sergei Gukov
Introduction to geometry and physics of knot homologies, III
Video 1 Video 2

Fri, 26 Apr 2013

10:30 - 12:00
MPIM Lecture Hall
Sergei Gukov
Introduction to geometry and physics of knot homologies, IV
Video 1 Video 2

Thu, 02 May 2013

16:30 - 18:00
MPIM Lecture Hall
Andras Stipsicz
Heegaard Floer homologies: topological preliminaries
Video 1 Video 2

Mon, 06 May 2013

16:30 - 18:00
MPIM Lecture Hall
Andras Stipsicz
Combinatorial invariants
Video 1 Video 2

Wed, 08 May 2013

16:30 - 18:00
MPIM Lecture Hall
Andras Stipsicz
Grid homology of knots and links in S^3
Video 1 Video 2

Fri, 10 May 2013

10:30 - 12:00
MPIM Lecture Hall
Andras Stipsicz
Applications
Video 1 Video 2

Mon, 13 May 2013

16:30 - 18:00
MPIM Lecture Hall
Peter Teichner
Iterated disc constructions in 4-manifold topology (Semester on 4-manifolds)
Video 1 Video 2
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