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Events - August 2013

Wednesday, August 28, 2013 — 3:30 PM EDT

Johannes Nordström, Imperial College London and University of Bath

“A new invariant of G2-structures”

Monday, August 19, 2013 — 10:00 AM EDT

Omar Leon Sanchez, Pure Mathematics, University of Waterloo

"Contributions to the model theory of partial differential fields"

Tuesday, August 13, 2013 — 1:00 PM EDT

Alejandra Vicente-Colmenares

“The geometry of Yang-Mills fields, Part 08”

Throughout the spring 2013 term, we will (as a group) be reading through and lecturing on ”The Geometry of Yang-Mills Fields” by Sir Michael Atiyah. All are welcome to attend.

Tuesday, August 6, 2013 — 4:30 PM EDT

Omar Leon Sanchez, Department of Pure Mathematics and Natalie Mullin, Combinatorics Optimization

“Quantum Walks on Cycles and Algebraic Solutions”

Tuesday, August 6, 2013 — 3:00 PM EDT

Rahim Moosa, Pure Mathematics, University of Waterloo

"Dp-minimality (NIP XXI)"

We take a break from NIP to talk about dp-minimality. I will use a 2011 paper by Dolich, Goodrick, and Lippel.

Tuesday, August 6, 2013 — 1:00 PM EDT

Zhiyou Wu, Pure Mathematics, University of Waterloo

"Introduction to Hodge structures"

Hodge structure is an abstract notion modeled on the Hodge decomposition of cohomology groups of compact Kähler manifolds. We will introduce the basic notion of Hodge structure and see its relation with geometric objects such as abelian varieties and Riemann surfaces. If time permits we will discuss variation of Hodge structure, which is an important tool in complex algebraic geometry.

Tuesday, August 6, 2013 — 1:00 PM EDT

David Pazmino Pullas, Pure Mathematics, University of Waterloo

"A conjecture on 2-complexes"

This talk will be a very brief summary of the work done up to date on a question posted by J.H.C. Whitehead in 1941. We will go through the statement of the conjecture, and review some classical results. Finally, we will use an algebraic characterization of 2-complexes to understand one of the approaches taken to solve the problem.

Friday, August 2, 2013 — 3:30 PM EDT

David Farahany, Department of Pure Mathematics, University of Waterloo

“Problems with inverting the Fourier transform”

Friday, August 2, 2013 — 2:30 PM EDT

Joseph Miller, University of Wisconsin - Madison

"The degrees of relative provability"

Mingzhong Cai recently introduced the degrees of provability to
compare the proof-theoretic strength of statements asserting the
totality of computable functions. They can also be viewed as the
Lindenbaum algebra of true $\Pi^0_2$ statements in first-order
arithmetic. We investigate the structure of the degrees of

Thursday, August 1, 2013 — 2:00 PM EDT

Carrie Knoll, Pure Math Department, University of Waterloo

"Complexity of classes of structures"

The main theme of this thesis is classifying classes of structures relative to various measurements. We will briefly discuss the notion of computable dimension, while the breadth of the paper will focus on calculating the Turing ordinal and the back-and-forth ordinal of various theories, along with an exploration of how these two ordinals are related in general.

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