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Elisabeth Werner, Case Western Reserve University

"Blaschke-Santalo inequality for many functions and geodesic barycenters of measures"

Motivated by the geodesic barycenter problem from optimal transportation theory, we prove a natural generalization of the Blaschke-Santalo inequality and the affine isoperimetric inequalities for many sets and many functions.

Based on joint work with A. Kolesnikov.

This seminar will be held jointly online and in person. 

Srivatsav Kunnawalkam Elayavalli, Vanderbilt University

"Strong 1-boundedness and Property T"

In recent joint work with B. Hayes and D. Jekel, we showed that Property T II_1 factors are strongly 1-bounded in the sense of Jung. In this talk, I will describe the historical context of this problem, and the solution. 

This seminar will be held jointly online and in person. 

Eric Boulter, Department of Pure Mathematics, University of Waterloo

"Fourier Transforms in Algebraic Geometry"

The Fourier transform is a powerful tool in real analysis and differential equations for understanding families of functions. In this talk, we will discuss how the philosophy of the Fourier transform can be applied in algebraic geometry to relate families of vector bundles on varieties which are so-called “Fourier-Mukai pairs”. As an example, we will look at the Fourier-Mukai pairing between an abelian variety and its Picard group.

Amanda Garcia and Burcu Tuncer Karabina, Faculty of Mathematics, University of Waterloo

"An analysis of student behaviour and use of Mobius in Calculus 3"

Sean Monahan, Department of Pure Mathematics, University of Waterloo

"An introduction to toric stacks"

Jintao Deng, Department of Pure Mathematics, University of Waterloo

"The K-theory of Roe algebras and the equivariant coarse Baum-Connes conjecture"

Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"Generalized superminimal surfaces and the Weierstrass representation"

Andrej Vukovic, Department of Pure Mathematics, University of Waterloo

"Why You Should Care about Discriminants"

You've all made the acquaintance of the humble discriminant b^2 - 4ac of a binary quadratic form because of its appearance under the square root in the quadratic formula. And if you've studied algebraic number theory, you know that algebraic number fields have discriminants too. But did you know that discriminants have connections to the study of vision and black hole thermodynamics? 

Aasiamani (Mani) Thamizhazhagan, Department of Pure Mathematics, University of Waterloo

"On the structure of invertible elements in certain Fourier-Stieltjes algebra"

Christopher Hawthorne, Department of Pure Mathematics, University of Waterloo

"F-automatic sets"