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Matthew Satriano, Department of Pure Mathematics, University of Waterloo

"Toric MMP"

I will discuss the minimal model program for toric varieties.

This seminar will be held jointly online and in person:

• Room: MC 5417
• Zoom information: Meeting ID: 991 8438 2567; Passcode: 502765; Link: https://uwaterloo.zoom.us/j/99184382567?pwd=aEEzM2tGV3BtbDdLdE40VzIydndrQT09

Camila Sehnem, Department of Pure Mathematics, University of Waterloo

"C*-envelopes and semigroup C*-algebras"

Keke Zhang, Department of Pure Mathematics, University of Waterloo

"An Introduction to Geometric Langlands"

We will begin with a discussion of the origin of the Langlands program in number theory, which is class field theory. Then we will give an introduction to the geometric Langlands conjecture. We will show Deligne's proof of the simplest case, which is the statement for GL(1).

This seminar will be held both online and in person:

Anton Iliashenko, Department of Pure Mathematics, University of Waterloo

"The third Betti number of nearly Kahler 6-manifolds"

Rasul Shafikov, Western University

"Lagrangian embeddings, rational convexity, and approximation"

A celebrated theorem of Duval and Sibony characterizes rationally convex real submanifolds in complex Euclidean spaces as those isotropic with respect to a Kahler form. I will discuss how the results in symplectic geometry can be used to obtain some new results in the approximation theory.

MC 5417

Ronnie Nagloo, University of Illinois at Chicago

"Geometric triviality in differentially closed fields"

Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Effectively closed sets - Part IV"

An effectively closed set (or $\Pi^0_1$ class) in Baire space $\omega^\omega$ is the set $[T]$ of infinite branches through a computable tree $T$. This semester in the computability seminar, we will be studying $\Pi^0_1$ classes from Cenzer \& Remmel's textbook. This week we will begin on chapter 3.

MC 5403

Ronnie Nagloo, University of Illinois at Chicago

"Applications of model theory to functional transcendence"

Leo Jimenez, Department of Pure Mathematics, University of Waterloo

"Not pfaffian, Part II"

James Freitag has shown that the j-function is not Pfaffian using the model theory of differentially closed fields. We will work though his paper, entitled "Not pfaffian".

MC 5417

Changho Han, Department of Pure Mathematics, University of Waterloo

"A Brief Introduction to the General MMP Part 2"

Continuing from where we left off last time, I will discuss singularities of the MMP. Then, I will give a brief explanation of how the higher-dimensional MMP works; note that there will be some key differences from the surface case, including flips.

This seminar will be held jointly online and in person: