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Talk #1 (9:30am - 10:45am): Amanda Petcu, Department of Pure Mathematics, University of Waterloo

“Isometric Immersion part 4”

This talk will bring an end to our series on isometric immersions. We will define a totally geodesic immersion and a minimal submanifold. To finish we will introduce and prove the three fundamental equations: Gauss' equation, Ricci's equation, and Codazzi's equation.

Talk #2 (11:00am - 12:15pm): Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

Clement Wan, Department of Pure Mathematics, University of Waterloo

"Are pseudovarieties the finite models of a set of equations?"

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"The Spectral Construction for Vector Bundles on Elliptic Surfaces"

In general, we have a much better understanding of vector bundles on curves than on surfaces. In this talk we will look at a particular type of surface where the problem of classifying vector bundles can be partially reduced to the case of curves.

This seminar will be held jointly online and in person:

Nicholas Manor, Department of Pure Mathematics, University of Waterloo

"Nonunital Operator Systems and Noncommutative Convexity"

The recent work on nc (noncommutative) convex sets of Davidson-Kennedy and Kennedy-Shamovich show that there is a rich duality between the category of operator systems and the category of compact nc convex sets, leading to new insights even in the case of C*-algebras.

Nicholas Manor,  Department of Pure Mathematics, University of Waterloo

"Quantum Channels, Exactness, and Noncommutative Convexity"

In the before times the Pure Math department held a regular Number Theory seminar.  It would be nice to restart this seminar in the Fall term.  As this is a restart of the seminar, we do not need to conform to previous models.  I felt it would be easiest to have an organizational seminar next week to discuss the various options and gather feedback on the best format.  Some thoughts to think about

Changho Han, Department of Pure Mathematics, University of Waterloo

"Compact Moduli of K3 surfaces with a given nonsymplectic cyclic action"

Nic Banks, Department of Pure Mathematics, University of Waterloo

"Inverse Galois Theory of Elliptic Curves"

The Inverse Galois Problem asks which finite groups appear as Galois groups of extensions of the rational numbers. The problem was first systematically investigated in 1892 by Hilbert, but the essential ideas were in the mathematical community since Galois enunciated his groundbreaking theory in the 1830s.

Adam Humeniuk, Department of Pure Mathematics, University of Waterloo

"Dilation methods in semigroup dynamics and noncommutative convexity"

Spencer Whitehead, Department of Pure Mathematics, University of Waterloo

"Integrality theorems for symmetric instantons"