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Thursday, February 16, 2012 3:30 pm - 3:30 pm EST (GMT -05:00)

Student colloquia | From algebraic Galois to differential Galois theory

Speaker:

Omar Leon Sanchez, Pure Mathematics, University of Waterloo

Abstract:

One of the most interesting applications of (algebraic) Galois theory, and perhaps why it all started, is that it translates the problem of solving polynomials by radicals to group-theoretic questions (in which we sometimes have an easier way to find an answer, e.g. finite groups).

Tuesday, March 6, 2012 3:30 pm - 3:30 pm EST (GMT -05:00)

Geometry working seminar

Speaker:

Spiro Kargiannis, Pure Mathematics Department, University of Waterloo

Gauge Theory and Calibrated Geometry: On Tian's 2000 Annals paper, Part II abstract:

I will go through Chapter 2 of Tian's paper in detail, on Price's monotonicity formula, Uhlenbeck's curvature estimates, and singular Yang-Mills connections.

Thursday, March 15, 2012 3:30 pm - 3:30 pm EDT (GMT -04:00)

Computability learning seminar

Speaker:

Matthew Harrison-Trainor, Pure Mathematics
University of Waterloo

A low2 model of RT2 abstract:

We give a proof of Cholak, Jockush, and Slaman that there is an ω-model of RT2 consisting entirely of low2 sets.

Thursday, March 15, 2012 3:30 pm - 3:30 pm EDT (GMT -04:00)

Number Theory seminar

Speaker:

Maysum Panju, Pure Mathematics, University of Waterloo

Wednesday, March 21, 2012 3:30 pm - 3:30 pm EDT (GMT -04:00)

Geometry & Topology seminar

Speaker:

Cheol-Hyan Cho, Seoul National University

Lagrangian Floer homology and toric oribfolds abstract:

For toric manifolds, Lagrangian Floer theory of its torus fibers has deep relations to quantum cohomology, and mirror symmetry, where the mirror is described by LG superpotential W. We will give gentle introduction on this field, and discuss the extension to the case of toric orbifolds.

Thursday, March 22, 2012 2:00 pm - 2:00 pm EDT (GMT -04:00)

Student Algebra seminar

Speaker:

Colin Roberts, Pure Mathematics, University of Waterloo

Computing group cohomology using spectral sequences abstract:

We will begin by recalling the “down-to-earth” computation of the cohomol- ogy groups of a cyclic group with coefficients in Z from an earlier talk. Then we will show how the Lyndon / Hochschild - Serre spectral sequence can be used to obtain the known result.
Time permitting we will show how the same technique can be used to compute the cohomology groups of a dihedral group with coefficients in Z.

Friday, March 23, 2012 3:30 pm - 3:30 pm EDT (GMT -04:00)

Analysis seminar

Speaker:

Ken Davidson, Pure Mathematics Department, University of Waterloo

Tuesday, March 27, 2012 3:30 pm - 3:30 pm EDT (GMT -04:00)

Logic seminar

Speaker:

William Simmons, UIC - University of Illinois at Chicago

Wednesday, March 28, 2012 3:30 pm - 3:30 pm EDT (GMT -04:00)

Geometry & Topology seminar

Speaker:

Charles Doran, University of Alberta

Abstract:

We prove that specific toric Landau-Ginzburg models for rank-1 Fano threefolds are families of Shioda-Inose surfaces, thereby explaining the observed modular properties of their associated regularized quantum differential equations. We conjecturally extend modularity to Fano varieties of any rank, and discuss this conjecture on toric examples.