Events by month

Andrei Minchenko, Weizmann Institute 

“Simple Lie conformal algebras”

Kathryn Hare,Pure Math Department, University of Waterloo 

“Local dimensions of convolutions of measures”

Michael Deveau, Department of Pure Mathematics, University of Waterloo

“Relative Randomness and van Lambalgen’s Theorem”

Abstract

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

“Variations on a Theme of Hodge, Variation I: Deformations”

Peter Cho, Department of Pure Mathematics, University of Waterloo

“Extreme residues of Dedekind zeta functions”

Fred Shultz, Wellesley College

“Applications of order isomorphisms of C*-algebras”

We will review known results about order isomorphisms of C*-algebras, and will describe some applications to complete positivity of maps and a generalization of the Choi matrix. (This is joint work with Vern Paulsen.) Then we will describe some applications to quantum information theory.

MC 5417

Benoit Charbonneau, Pure Mathematics Department, University of Waterloo

“Deformations of nearly Khler instantons”

Henry Liu, Department of Pure Mathematics, University of Waterloo

“Path Integrals - Part 2”

We will continue with our discussion of the path integral, and derive the Feynman rules for the phi4 theory.

MC 5403

Khoa Nguyen, University of British Columbia and Pacific Institute for the Mathematical Sciences

"Dynamical Analogue of Results by Bombieri-Masser-Zannier and Habegger"

First, we briefly explain how results and questions in diophantine geometry give rise to interesting problems in arithmetic dynamics. Then we focus on dynamical analogue of the following results by
Bombieri, Masser, Zannier and Habegger.

Adam Topaz, University of California, Berkeley

“Minimalistic anabelian geometry and the mod-ell variant of Bogomolov’s program.”

Samuel Kim, Department of Pure Mathematics, University of Waterloo

“Localization part 2 continued”

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“Rational automorphisms of binary quartic forms”

Michael Deveau, Department of Pure Mathematics, University of Waterloo

“Relative Randomness and van Lambalgen’s Theorem - Part 2”

We continue last week’s presentation and present a proof of van Lambalgen’s Theorem. To conclude this subsection, we also remark on some of the consequences of this result. Time per- mitting, we also discuss some applications of relativized randomness to lowness and highness.

Raymond Cheng, Pure Mathematics Department, University of Waterloo

“Variations on a Theme of Hodge, Variation II: Medley”

Ross Willard, Department of Pure Mathematics, University of Waterloo

“Fundamentals of finite modular lattices, II.”

Jonas Jankauskas, Department of Pure Mathematics, University of Waterloo

“Binary words, winding numbers and polynomials with interlaced roots.”

Christopher Daw, Institut des Hautes Etudes Scientifiques (IHES)

"Unlikely intersections in Shimura varieties"

Dinesh Singh, University of Delhi

“Some Applications of the H1-BMOA Duality”

Patrick Naylor, Department of Pure Mathematics, University of Waterloo

“Localization, continued again”

We will describe a correspondence of ideals of R with ideals of the ring of fractions Q(R) in the case where R is noetherian. There will also be examples.

MC 5403

Chris Dodd, Perimeter Institute

“Quantization, reduction mod p, and automorphisms of the Weyl algebra”

Javad Mashreghi, Pure Math Department Visitor from University of Laval

“The capacity of generalized Cantor sets”

Michael Deveau, Department of Pure Mathematics, University of Waterloo

“Relative Randomness and van Lambalgen’s Theorem - Part 3”

Jonas Azzam, Universitat Autonoma de Barcelona

"Multiscale analysis of rectifiable sets"

Ross Willard, Department of Pure Mathematics, University of Waterloo

“Finite atomistic directly indecomposable modular lattices and finite projective geometries”

Akshaa Vatwani, Queen’s University

“A higher rank Selberg sieve and applications”

We present a general higher rank Selberg sieve and apply it to various questions in number theory. In particular, we improve upon a result of Heath-Brown on almost prime k-tuples. This is joint work with Professor Ram Murty.

Kate Juschenko, Northwestern University

Xi Chen, University of Alberta

“Xiaos Conjecture on Canonically Fibered Surfaces”

In 1988, Gang Xiao proposed a list of open problems on algebraic surfaces. Many of these remain open to this day. One of the problems concerns the maximal relative genus of a canonically fibered surface. In this talk, I will talk about my proof of this conjecture.

Timothy Rainone, Department of Pure Mathematics, University of Waterloo

“Noncommutative Dynamics and Finiteness in C*-Crossed Products”

Henry Liu, Department of Pure Mathematics, University of Waterloo

“Renormalization Theory (Part 1)”

Brent Pym, University of Oxford

"Holomorphic Poisson brackets and noncommutative geometry''

Christopher Schafhauser, Department of Pure Mathematics, University of Waterloo

“Goldie’s Theorem on semiprime rings”

Margaret Thomas, University of Konstanz

"Effective Pila--Wilkie bounds for restricted Pfaffian surfaces"

Mohammad Mahmoud, Department of Pure Mathematics, University of Waterloo

“Notions weaker than ML-randomness”

Though Martin-L ̈of randomness is the central randomness notion we have discussed, one can address criticisms to the claim that this notion is the appropriate one by considering weaker and stronger randomness notions for sets. We will discuss weaker variants.

MC 5403

Mohamed El Alami, University of Waterloo

"Griffith's theorem and its applications"

In this talk, we will see how all of the machinery we built so far in this seminar, culminates in the statement of Griffith's theorem, which produces a well behaved description of the derivative of the period map in terms of the Kodaira-Spencer map. The power of this result will be explored through concrete examples. In particular, We will make our first encounter with a Torelli theorem.

MC 5479

Fernando Xuancheng Shao, University of Oxford

"Vinogradov's theorem in twin almost primes"

Robert (Xu) Yang, Department of Pure Mathematics, University of Waterloo

“Interpolation Sets in Z” Abstract

Niushan Ga, Southwest Jiaotong University

“Unbounded Order Convergence in Banach lattices”

Henry Liu, Department of Pure Mathematics, University of Waterloo

“Renormalization Theory (Part 2)”

Xiaoheng Jerry Wang, Princeton University

"Density of polynomials with squarefree discriminant"

The problem of the density of squarefree discriminant polynomials is an old one, being considered by many people, and the density being conjectured by Lenstra. A proof has been out of question for a