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Abstracts for MPIM Topology Seminar

Alternatively have a look at the program.

Introductory Short Talks

Posted in
Speaker: 
Tobias Barthel, Ana Ros Camacho, Owen Gwilliam, Moritz Groth, Drew Heard, Pavel Mnev, Vesna Stojanoska, and Nat Stapleton
Date: 
Mon, 06/10/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

The first two weeks of the MPIM Topology seminar will consist of short introductory talks. The first week we will have the following talks:

 

  • Vesna Stojanoska: "Picard spectra of $E_\infty$ rings"
  • Drew Heard: "Rigidity and exotic elements in E(n) and K(n) local Picard groups"
  • Tobias Barthel: "The chromatic Tate construction"
  • Nat Stapleton: "Cohomology lattices"

 

Introductory Short Talks

Posted in
Speaker: 
Akram Alishahi, Rune Haugseng, Santosh Kandel, Daniel Kasprowski, Ben Matschke, Mark Powel, Gregor Schaumann, and James Tener.
Affiliation: 
MPI
Date: 
Mon, 13/10/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

 

Abstract: The first two weeks of the MPIM Topology seminar will consist of short introductory talks. This second week we will have the following talks: 
 

Daniel Kasprowski: "The assembly map in algebraic K-theory"
Ben Matschke: "higher spectral sequences"

 

Topological modular forms and duality

Posted in
Speaker: 
Vesna Stojanoska
Affiliation: 
MPI
Date: 
Mon, 20/10/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

 

The goal of this talk is to describe the Anderson self-duality of the spectrum of topological modular forms, as well as the guiding analogous example of real K-theory. The results as well as some of the proofs will have the algebro-geometric flavor of Serre-Grothendieck duality.
The first part of my talk will consist of introductory material that could be summarized as "Tmf for the working algebraic topologist."

Topological modular forms and duality, Part II

Posted in
Speaker: 
Vesna Stojanoska
Affiliation: 
MPI
Date: 
Mon, 27/10/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

An introduction to Morava E-theory

Posted in
Speaker: 
Nathaniel Stapleton
Affiliation: 
MPI/MIT
Date: 
Mon, 03/11/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Morava E-theory is a cohomology theory with many amazing properties. During the first half of this talk we will introduce Morava E-theory and give an overview of its most important properties. During the second half of this talk we will discuss the relationship between the Morava E-theory of finite groups and algebraic geometry.

Interactions between Morava E-theory, algebraic geometry, and representation theory

Posted in
Speaker: 
Nathaniel Stapleton
Affiliation: 
MPI/MIT
Date: 
Mon, 10/11/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

Graphical obstructions to the surjectivity of the higher order Johnson homomorphism

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Speaker: 
Jim Conant
Affiliation: 
U of Tennessee, Knoxville
Date: 
Mon, 24/11/2014 - 16:30 - 18:00
Location: 
MPIM Lecture Hall

The Johnson filtration of the mapping class group gives rise to an associated graded Lie algebra. The higher order Johnson homomorphism embeds this Lie algebra in the larger but better understood Lie algebra of symplectic derivations. It has long been known that this is not surjective, and various families of obstructions to surjectivity have been constructed by several authors. We give a graph homology construction that unifies and expands all of the previously known obstructions (with one exception, the so-called Galois obstruction.)

The higher Morita category of $E_n$-algebras

Posted in
Speaker: 
Rune Haugseng
Affiliation: 
MPIM
Date: 
Mon, 01/12/2014 - 16:30 - 18:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

I will discuss a construction of a higher category of $E_n$-algebras and iterated bimodules, generalizing the classical bicategory of algebras and bimodules. This leads to generalizations of the Picard and Brauer groups, which have been studied in stable homotopy theory as interesting invariants of ring spectra, and should also lead to an "algebraic" construction of factorization homology as an extended topological quantum field theory.

An introduction to chromatic homotopy theory

Posted in
Speaker: 
Tobias Barthel
Affiliation: 
MPIM
Date: 
Mon, 08/12/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

In this talk, we will give an overview of some of the key concepts in chromatic homotopy theory. The goal is to explain how the chromatic point of view organizes the stable homotopy category.

 

Derived induction and restriction theory

Posted in
Speaker: 
Justin Noel
Affiliation: 
Regensburg
Date: 
Mon, 15/12/2014 - 16:30 - 18:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar
Let G be a finite group. Artin's theorem says that we can recover the complex representation ring of G from the representations of the cyclic subgroups of G up to torsion, or additive nilpotence.
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