Seminars and colloquia

E.g., Apr 24, 2025

Thomas Rud

Massachusetts Instsitute of Technology
Jacquet-Rallis transfer for parahoric functions over ramified quadratic extensions

May 6, 2025 - 10:30 am to 11:30 am

MATH 204

The Gan-Gross-Prasad conjecture relates special values of certain L-functions to period integrals on classical groups. Jacquet and Rallis proposed an approach through the relative trace formula, reducing the problem to two conjectures: a fundamental lemma conjecture and a ... Read more
  • Number Theory

Alia Hamieh

University of Northern British Columbia
Moments of Rankin-Selberg $L$-functions in the prime-power level aspect

May 6, 2025 - 11:30 am to 12:30 pm

MATH 204

In this talk we discuss joint work with Fatma Çiçek on establishing asymptotic formulae with power saving error term for first and second moments of Rankin-Selberg $L$-functions $L(1/2+i\mu,f\otimes g)$ where $f$ varies over newforms of conductor $p^n$ with $p$ being a fixed ... Read more
  • Number Theory

Matilde Lalin

Universite de Montreal
Nonvanishing of L-functions of fixed order characters over function fields

May 6, 2025 - 3:00 pm to 4:00 pm

MATH 204

  • Number Theory

Shabnam Akhtari

Penn State Eberly College of Science
Representation of Integers by Binary Forms

May 6, 2025 - 4:00 pm to 5:00 pm

MATH 204

Let F(x, y) be a binary form of degree at least 3 which is irreducible over the rationals. For any fixed non-zero integer m, Thue showed that the equation F(x, y) =m has at most finitely many solutions in integers x, y. I will discuss some fundamental work on bounding the ... Read more
  • Number Theory

Bill Casselman

University of British Columbia
Langlands and L-functions

May 7, 2025 - 9:45 am to 10:45 am

MATX 1100

An attempt to explain Langlands' contributions to non-experts. Read more
  • Number Theory

Patrick Ingram

York University
Some results on arithmetic dynamics in positive characteristic

May 7, 2025 - 10:30 am to 11:30 am

MATH 202

After a general overview of some open questions on arboreal Galois representations, we will present some recent work on the positive-characteristic case. Patrick Ingram received his PhD from UBC in 2006, and has worked at the University of Toronto, University of Waterloo, ... Read more
  • Number Theory

Katherine Stange

University of Colorado Boulder
TBA

May 7, 2025 - 3:00 pm to 4:00 pm

TBA

TBA Read more
  • Number Theory

Shamil Asgarli

Santa Clara University
Blocking sets and plane curves over finite fields

May 7, 2025 - 4:00 pm to 5:00 pm

TBD

Let 𝔽_q be a finite field, and let ℙ²(𝔽_q) denote the projective plane over 𝔽_q. A subset B ⊆ ℙ²(𝔽_q) is called a blocking set if it intersects every line defined over 𝔽_q. Given an algebraic plane curve C in ℙ², under what conditions does the set of ... Read more
  • Number Theory