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Events - July 2013

Tuesday, July 30, 2013 — 3:00 PM EDT

Omar Leon Sanchez, Department of Pure Mathematics, University of Waterloo

“NIP Theories XX” 

We will see why C-minimal theories are dp-mininal, and hence conclude that the theory ACVF is NIP. We will also see why ACFA is ”not” NIP.

Tuesday, July 30, 2013 — 2:30 PM EDT

Songhao Li, University of Toronto

“Elementary modification of Lie algebroids and the blow-up construction of Lie groupoids”

Tuesday, July 30, 2013 — 1:00 PM EDT

Travis Li, University of Toronto

“Introduction to Lie groupoids and Lie algebroids”

Monday, July 29, 2013 — 11:30 AM EDT

Chao Lin, Department of Pure Math, University of Waterloo

“Freiman’s Theorem - Part II”

Friday, July 26, 2013 — 3:30 PM EDT

Hun Hee Lee, Seoul National University

"Operator amenability of the $L^1$-algebra of a compact quantum group"

We consider the question of operator amenability of the $L^1$-algebra of a compact quantum group. In order to answer the question we instead look at a related concept of operator biflatness. The final result says for a
compact quantum group $G$, $L^1(G)$ is operator amenable if and only if $G$ is co-amenable and of Kac type, which excludes examples like

Tuesday, July 23, 2013 — 3:00 PM EDT

Omar Leon Sanchez, Department of Pure Mathematics, University of Waterloo

Title: NIP XIX

We will continue with the proof that the theory of algebraically closed valued fields has NIP. In the way we will talk about strongly dependent theories and dp-minimality.

Tuesday, July 23, 2013 — 1:00 PM EDT

Talk #1: "The Lefschetz Theorem on (1,1) Classes" (Zhiyou Wu)

We will discuss and give a proof of a special case of the Hodge conjecture: that for a smooth projective manifold, every (1,1) cohomology class is analytic. We will require some results from Kähler geometry, such as the Hodge-Dolbeault decomposition, which will be stated and their proofs sketched. If time permits we will make further remarks about the general Hodge conjecture.

Monday, July 22, 2013 — 11:30 AM EDT

Chao Lin, Department of Pure Mathematics, University of Waterloo

"Freiman's Theorem - Part I"

For a set of numbers $A$, let the sum-set $A+A$ denote

Friday, July 19, 2013 — 3:30 PM EDT

George Hutchinson, Department of Pure Math, University of Waterloo

“Almost Commuting Matrices and Lin’s Theorem”

Thursday, July 18, 2013 — 3:30 PM EDT

Matthew B. Young, Stony Brook University

“Representations of Hall algebras and some applications”

Tuesday, July 16, 2013 — 3:00 PM EDT

Omar Leon, Sanchez Department of Pure Mathematics, University of Waterloo

“NIP Theories XVIII”

We will take a step aside from Chapter 4 of Simon’s note, and jump the appendix to see why the theory of algebraically closed valued fields is NIP. Also, I will talk on why the model companion of difference fields is not NIP.

Monday, July 15, 2013 — 11:30 PM EDT

J.C. Saunders, Department of Pure Math, University of Waterloo

"Sums of Digits in q-ary expansions Part 2"

Let sq(n) denote the sum of the digits of a number n in base q. For example, s2(n) represents the number of 1s in the binary expansion of n. In 1978, Kenneth B. Stolarsky showed that lim inf n!1 s2(n2) s2(n)
= 0 using bounds obtained from analytical methods. In the last presentation we showed that the ratio s2(n2) s2(n) can indeed hit every positive rational number. In this presentation, we show that the same is

Friday, July 12, 2013 — 3:30 PM EDT

Seminar has been cancelled due to sickness.

Thursday, July 11, 2013 — 2:30 PM EDT

Robert Garbary, Pure Mathematics University of Waterloo

“Quotient Spaces”

Suppose we have an algebraic group G acting algebraicly on a variety X, ie for each g ∈ G the associated map X → X is a morphism. A quotient of X by G is defined to be a variety Y and a morphism π : X → Y satisfying
(1) π−1(π(x)) = Gx for all x ∈ X.
(2) For any variety Z and G-invariant morphism X → Z, there is a unique factorization through Y.

Thursday, July 11, 2013 — 1:15 PM EDT

Michael Ng, Department of Pure Math, University of Waterloo

“Dimension partition of some Cantor sets”

Please note room and time.

Tuesday, July 9, 2013 — 3:00 PM EDT

Ruizhang Jin, Department of Pure Mathematics, University of Waterloo

“NIP Theories XVII”

We will continue on chapter 4 of the Pierre Simons notes. We will go further on mutually indiscernible sequences and start talking about DP-ranks.

Tuesday, July 9, 2013 — 1:00 PM EDT

Benoit Charbonneau

“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.

Monday, July 8, 2013 — 11:30 AM EDT

Blake Madill, Department of Pure Math, University of Waterloo

“The Chebotarev Density Theorem”

Thursday, July 4, 2013 — 3:30 PM EDT

David Belanger, Cornell University

“Disjunctions in reverse mathematics”

Wednesday, July 3, 2013 — 2:30 PM EDT

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Gromov’s theorem XII: This week it ends!”

We finally finish the proof of Gromov’s theorem.

Tuesday, July 2, 2013 — 3:00 PM EDT

Eeshan Wagh and Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo

“NIP Theories XVI”

We will continue to go through section 2.2 of Pierre Simon’s notes. We will finish discussing our characterization of invariant 1-types in O-minimal theories and then discuss products and Morley sequences in O-minimal theories.

Tuesday, July 2, 2013 — 1:00 PM EDT

Saifuddin Syed & Artane Siad, Pure Mathematics Department, University of Waterloo

"The geometry of Yang-Mills fields, Part 06"

"The geometry of Yang-Mills fields, Part 07"

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.
 

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