Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
Fall term update: visit our COVID19 Information website for more information.
Please note: The University of Waterloo is closed for all events until further notice.
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Patrick Naylor, Department of Pure Mathematics, University of Waterloo
“The category of cobordisms (Part II)”
We will continue to discuss the category of cobordisms, along with more examples.
MC 5417
Benjamin AndersonSackaney, Department of Pure Mathematics, University of Waterloo
"Honeycombs and the Horn Problem"
Note: Special time and room
Sergey Cherkis, University of Arizona
"Compactification of Monopole Moduli Spaces"
Monopole's dynamic is well approximated by the geodesic motion on its moduli space. This provided the initial motivation for studying monopole moduli spaces. Recently, these spaces acquired new significance as they deliver numerous examples of gravitational instantons and of spaces of vacua of quantum field theories. In this light the L2 cohomology of these spaces is particularly important.
Adam Humeniuk, Department of Pure Mathematics, University of Waterloo
"On C*Envelopes of Semicrossed Products"
Marco Gualtieri, University of Toronto
"From generalized Kahler geometry to noncommutative algebra"
Patrick Naylor, Department of Pure Mathematics, University of Waterloo
"The category of cobordisms (Part II)"
We will continue to discuss the category of cobordisms, along with more examples.
MC 5417
Jinhe Ye, University of Notre Dame
"A model theoretic adic space"
Jerry Wang, Department of Pure Mathematics, University of Waterloo
"Density of polynomials with squarefree discriminant II"
In this talk, we will discuss the squarefree sieve for discriminants of arbitrary polynomials. We will find that there are striking differences between odd and even degree polynomials, where additional techniques of counting on varieties will be required for the latter. This is joint work with Manjul Bhargava and Arul Shankar.
MC 5417
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"An introduction to the Laplacian operator on a metrized graph"
In this presentation we shall attempt to give a self contained introduction to finite metrized graphs. Following this introduction we shall discuss how to define a Laplacian operator on a finite metrized graph and discuss its basic properties.
MC 5403
Kathryn Hare, Department of Pure Mathematics, University of Waterloo
"The size of complementary sets"
Patrick Naylor, Department of Pure Mathematics, University of Waterloo
"The category of cobordisms (Part III)"
We specialize to the 2cobordism category, and work towards developing a set of generators and relations.
MC 5417
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"BryantSalamon G2 manifolds and coassociative fibrations"
Angelos Koutsianas, University of British Columbia
"Solving generalized Fermat equations with Frey hyperelliptic curves"
In this talk, I will talk about Darmon's program and the resolution of the generalized Fermat equation of signature (p,p,5) using Frey hyperelliptic curves. This is joint work with Imin Chen (Simon Fraser University).
MC 5417
Zhouli Xu, MIT
"In and around stable homotopy groups of spheres"
Hongdi Huang, Department of Pure Mathematics, University of Waterloo
This week, we will further talk about the generators and relations for 2Cob.
MC 5417
Alexi Taylor Block Gorman, University of Illinois at UrbanaChampaign
"Continuous Regular Functions: where automata theory meets metric geometry"
Andrew Staal, Department of Pure Mathematics, University of Waterloo
"Reducibility of Varieties of Commuting Matrices"
We will present some wellknown results on reducibility of the varieties C(k,n) of commuting ktuples of nxnmatrices. In particular, we will discuss the Motzkin—Taussky Theorem proving irreducibility of C(2,n) and Guralnick’s Theorem, which shows that C(3,n) is reducible when n ≥ 29.
MC 5413
Dino Rossegger, Department of Pure Mathematics, University of Waterloo
"Iterated Reflection principles and Feferman's Completeness Theorem"
Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo
"Return Sets on Algebraic Varieties"
Brett Nasserden, Department of Pure Mathematics, University of Waterloo
"An introduction to the Laplacian operator on a metrized graph: Part 2"
We will continue our discussion of harmonic analysis on a finite metrized graph. The goal is to finish the introduction to the theory and go over some explicit examples.
MC 5403
Wilson Poulter, Department of Pure Mathematics, University of Waterloo
"Ultraproducts, Hyperreals, and Pseudofinite Graphs"
An ultraproduct is a construction used in mathematical logic to construct limits of firstorder structures. Due to a result of Jerzy Los, the firstorder properties of these limits is very well understood, allowing one to construct counterexamples as well as structures that are interesting in and of themselves.
Michael Klug, University of California Berkeley
"Concordance of homotopic spheres in 4manifolds"
Alex Rutar, Department of Pure Mathematics, University of Waterloo
"Geometric and Combinatorial Separation Conditions for Iterated Function Systems"
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca