Seminars & Colloquia Calendar

Download as iCal file

Number Theory Seminar

Geometry of Selberg's bisectors in the symmetric space \(SL(n,\mathbb{R})/SO(n,\mathbb{R})\)

Yukun Du (UC Davis, over Zoom)

Location:  Hill 525
Date & time: Tuesday, 24 October 2023 at 2:00PM - 3:00PM

Abstract: We research some properties of a family of symmetric spaces, namely\\ \(SL(n,\mathbb{R})/SO(n,\mathbb{R})=:\mathcal{P}(n)\), where we replace the Riemannian metric on \(\mathcal{P}(n)\) with a premetric suggested by Selberg. These include intersecting criteria of Selberg's bisectors, the shape of Dirichlet-Selberg domains, and angle-like functions between Selberg's bisectors. These properties are generalizations of properties on the hyperbolic spaces \(\mathbf{H}^n\) related to Poincar\'e's fundamental polyhedron theorem.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.