Events

Alex Wires, Department of Pure Mathematics, University of Waterloo

“A Smooth Proof of the Smooth Theorem”

Bang-Jensen and Hell conjectured in 1990 that CSP Dichotomy holds for finite digraphs with no sources or sinks.

David Wagner, University of Waterloo

“Stable polynomials”

Background on stable polynomials (see section 3.2 of [MSS]) used in the proof of the Kadison-Singer conjecture.

Please note room.

Blake Madill, Department of Pure Mathematics, University of Waterloo

“#YOLOmology Groups”

This week we continue our adventure into group cohomology.

Yongqiang Zhao, Department of Pure Mathematics, University of Waterloo

“On sieve methods for varieties over finite fields"

Although sieve methods in classical analytic number theory have a long and very fruitful history, its appearance in algebraic geometry is relatively new, and was introduced by Bjorn Poonen about ten years ago.

Janis Lazovskis, Department of Pure Mathematics, University of Waterloo

“Chern classes: Part 2”

We will continue to work with Chern classes, proving equation 14.7 in Milnor and Stasheff, which states that the Chern class of the sum of two vector bundles is the product of the Chern class of the bundles.

Nasir Sohail, Institute of Mathematics, University of Tartu, Estonia

“An open problem concerning dominions of posemigroups”

An element d of a semigroup S is said to be in the dominion of a subsemigroup U of S if for every pair f,g:S —¿T of semigroup homomorphisms, with f(u)=g(u) for

Adam Dor-On, Department of Pure Mathematics, University of Waterloo

“Cuntz-Pimsner algebras and Subproduct Systems arising from Stochastic Matrices”

Arveson-Stinespring subproduct systems, introduced by Shalit and Solel in their paper “Subproduct systems”, are invariants of non-commutative dynamics used in their classification and dilation theory.

Rasul Shafikov, University of Western Ontario

“Lagrangian inclusions and holomorphic discs”

Gromov’s theorem on the existence of a holomorphic disc attached to a compact Lagrangian submanifold of Cn has had a deep impact on symplectic topology and complex analysis.

Alex Wires and Renzhi Song, Department of Pure Mathematics, University of Waterloo

“The Smooth Theorem (continued), and Taylor and cyclic terms on finite algebras, the Prologue”

First part (Wires): We will utilize the Absorption Theorem for Taylor algebras to complete the proof of the Smooth Theorem.

Michael Hartz, Department of Pure Mathematics, University of Waterloo

“Kadison-Singer problem: linear algebra”

This will cover section 3.3 on linear algebra background needed in the proof.