Student Topology Seminar Seminars for 2013-14

September   October   November   December   February   March   April  

April 2014  #

Dijkgraaf-Witten theory using cohomology with coefficients in Picard groupoids on Apr 9th at 2:30p.m. in VinH 311
Amit Sharma (University of Minnesota)
Dijkgraaf-Witten theory, a gauge theory with nite gauge group, was introduced in a paper of Dijkgraaf and Witten. A detailed description of this theory was ... (more)

March 2014  #

Study Group on Stable Homotopy Computations on Mar 28th at 2:30p.m. in VinH 311
Jeremiah Peterson (University of Minnesota)
We will try to compute the cohomology of BO and MO following Milnor's notes: http://www-math.mit.edu/~hrm/papers/cobordism.pdf

Study Group for Stable Homotopy Theory on Mar 5th at 2:30p.m. in VinH 311
Jeremiah Peterson (University of Minnesota)

February 2014  #

Organizational Meeting for Study Group on Feb 21st at 2:30p.m. in VinH 311
Jeremiah Peterson (University of Minnesota)
This semester we will be using some of the STS meetings to study basic computations in stable homotopy using the spectrum MU. We will be ... (more)

A very introductory introduction to homotopy type theory on Feb 19th at 2:30p.m. in VinH 311
Maggie Ewing (University of Minnesota)

December 2013  #

Introduction to discrete Morse theory on Dec 11th at 2:30p.m. in VinH 20
Henry Adams (IMA)
This talk will be an introduction to discrete Morse theory. Whereas standard Morse theory studies smooth functions on a differentiable manifold, discrete Morse theory considers ... (more)

Geography of Smooth (Symplectic) 4-Manifolds on Dec 4th at 2:30p.m. in VinH 20
Nur Saglam (University of Minnesota)
We will introduce geography and related botany problems for smooth 4 manifolds. Then we will provide various surgery techniques such as Knot surgery and Luttinger ... (more)

November 2013  #

Tangential structures on smooth manifolds on Nov 22nd at 2:30p.m. in VinH 20
Amit Sharma (University of Minnesota)

Crazy Sock Orbifolds on Nov 20th at 2:30p.m. in VinH 20
Jeffrey Bailes (University of Melbourne)
An orbifold can be thought of as a twisted space. During this talk I'll define an orbifold and hopefully give some other mildly interesting definitions ... (more)

Chromatic tower and chromatic convergence on Nov 15th at 2:30p.m. in VinH 20
Drew Heard (University of Melbourne)
The chromatic tower is a tower of localisations with respect to Morava E-theory. The Hopkins-Ravenel chromatic convergence theorem gives conditions for the convergence of this ... (more)

Morava E-theory on Nov 13th at 2:30p.m. in VinH 20
Drew Heard (University of Melbourne)
We will review the construction of formal group laws and define the height associated to a formal group law over a finite field. We will ... (more)

Configuration spaces, homological stability and applications on Nov 8th at 2:30p.m. in VinH 20
TriThang Tran (University of Melbourne)
The first talk aims to be an introductory talk on how to prove homological stability theorems via an example: the configuration space of the disk. ... (more)

Configuration spaces, homological stability and applications on Nov 6th at 2:30p.m. in VinH 20
TriThang Tran (University of Melbourne)
The first talk aims to be an introductory talk on how to prove homological stability theorems via an example: the configuration space of the disk. ... (more)

Computations in Homotopy Theory and Brown-Gitler Spectra on Nov 1st at 2:15p.m. in VinH 20
Prasit Bhattacharya (Indiana University)
I will explain modern techniques used in Adams Spectral Sequence which uses Brown-Gitler spectra.

October 2013  #

Introduction to Formal Group Laws on Oct 25th at 2:30p.m. in VinH 20
Daniel Hess (University of Minnesota)

The Cobordism Hypothesis on Oct 23rd at 2:30p.m. in VinH 20
Amit Sharma (University of Minnesota)

Introduction to Spectra on Oct 18th at 2:30p.m. in VinH 20
Daniel Hess (University of Minnesota)

The Cobordism Hypothesis on Oct 16th at 2:30p.m. in VinH 20
Amit Sharma (University of Minnesota)
I will start the first of my two talks on the Cobordism hypothesis by introducing the notion of a bordism. In the first talk I ... (more)

Elliptic curves and formal group laws on Oct 11th at 2:30p.m. in VinH 20
Jeremiah Peterson (University of Minnesota)

Elliptic curves and formal group laws on Oct 4th at 2:30p.m. in VinH 20
Jeremiah Peterson (University of Minnesota)

Infinity Categories on Oct 2nd at 2:30p.m. in VinH 20
Maggie Ewing (University of Minnesota)
I'm going to try to define basic category theoretic concepts, like functors, limits, etc., for infinity categories. I'm hoping that I'll be able to talk ... (more)

September 2013  #

Infinity Categories on Sep 27th at 2:30p.m. in VinH 20
Maggie Ewing (University of Minnesota)

Towards the Adams Spectral Sequence on Sep 25th at 2:30p.m. in VinH 20
Robbie Hank (University of Minnesota)
We will continue our computation of the homotopy groups of spheres. This will lead us into the Adams spectral sequence.

Computations of the homotopy groups of spheres on Sep 20th at 2:30p.m. in VinH 20
Robert Hank (University of Minnesota)
We will work through an example that will help us understand the interaction between the transgression and the Steenrod algebra. After this we will begin ... (more)

Computations of the homotopy groups of spheres on Sep 18th at 2:30p.m. in VinH 20
Robert Hank (University of Minnesota)
After doing our last cohomology spectral sequence example, we will introduce some of the players in the computations of homotopy groups of spheres. If we ... (more)

What is a spectral sequence? on Sep 13th at 2:30p.m. in VinH 20
Robert Hank (University of Minnesota)
We will try to understand what a spectral sequence is and see some example computations using the gadgetry. A special emphasis will be placed on ... (more)

What is a spectral sequence? on Sep 11th at 2:30p.m. in VinH 20
Robert Hank (University of Minnesota)
We will try to understand what a spectral sequence is and see some example computations using the gadgetry. A special emphasis will be placed on ... (more)