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Julie Desjardins, University of Toronto Mississauga

"Torsion points and concurrent exceptional curves on del Pezzo surfaces of degree one"

The blow up of the anticanonical base point on X, a del Pezzo surface of degree 1, gives rise to a rational elliptic surface E with only irreducible fibers. The sections of minimal height of E are in correspondence with the 240 exceptional curves on X. A natural question arises when studying the configuration of those curves : 

Matthew Satriano, Department of Pure Mathematics, University of Waterloo

"The canonical divisor and properties of Cartier divisors for horospherical varieties"

We will discuss criteria for Cartier divisors to be base point free or ample. We will also give a formula for the canonical divisor. We will include many examples.

This seminar will be held jointly online and in person:

Yash Totani, Department of Pure Mathematics, University of Waterloo

"A function field analogue of Landau's theorem"

A famous theorem of Landau classifies the numbers which can be written as the sum of two squares and provides the asymptotic density of such numbers in the set of integers. In this talk, we will be looking at a function field analogue due to Soroker, Smilansky and Wolf.

This seminar will be held jointly online and in person:

Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo

"Effectiveness properties of the Walker's Cancellation Theorem - Part II"

Jenna Rajchgot, McMaster University

"Symmetric quivers and symmetric varieties"

Sung Gi Park, Harvard University

"Kodaira dimension and hyperbolicity for smooth families of varieties"

Patrick Speissegger, McMaster University

"The real Gamma and Zeta functions are jointly o-minimal"

Changho Han, Department of Pure Mathematics, University of Waterloo

"Divisors and line bundles on horospherical varieties II"

Xinyue (Cynthia) Xie & Layth Al-Hellawi, Department of Pure Mathematics, University of Waterloo

"Effectiveness Properties of Walker's Cancellation Theorem - Part I"

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"An Introduction to Gromov-Witten Invariants and Quantum Cohomology"