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

Alternatively have a look at the program.

An approach to the topological classification of 4-manifolds I

Posted in
Speaker: 
Matthias Kreck
Zugehörigkeit: 
Univ. Bonn
Datum: 
Die, 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

An approach to the topological classification of 4-manifolds II

Posted in
Speaker: 
Matthias Kreck
Zugehörigkeit: 
Univ. Bonn
Datum: 
Mit, 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

Classification of topological 4-manifolds with finite fundamental group

Posted in
Speaker: 
Ian Hambleton
Zugehörigkeit: 
McMaster U./MPI
Datum: 
Fre, 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

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

Posted in
Speaker: 
Ian Hambleton
Zugehörigkeit: 
McMaster U./MPI
Datum: 
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

Pi_1 negligible embeddings in 4-manifolds, and applications

Posted in
Speaker: 
Frank Quinn
Datum: 
Mit, 2013-04-10 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

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

Pi_1 negligible embeddings in 4-manifolds, and applications

Posted in
Speaker: 
Frank Quinn
Datum: 
Fre, 2013-04-12 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

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

Student seminar on higher categories

Posted in
Datum: 
Fre, 2013-04-26 13:30 - Fre, 2013-07-19 15:00
Location: 
MPIM Lecture Hall
Parent event: 
Classification of Topological 4-manifolds (Semester on 4-manifolds)
Details: 
Program and Abstracts 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.

Combinatorial Heegaard-Floer Homology (Semester on 4-manifolds)/jointly with Oberseminar Differentialgeometry

Posted in
Datum: 
Don, 2013-05-02 16:30 - Fre, 2013-05-10 17:00
Location: 
MPIM Lecture Hall
Parent event: 
Classification of Topological 4-manifolds (Semester on 4-manifolds)
Details: 
Program and Abstracts of Combinatorial Heegaard-Floer Homology (Semester on 4-manifolds)/jointly with Oberseminar Differentialgeometry

 

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