## Inward Bound: Discovering and Exploring the Milky Way's Black Hole

Scott Tremaine

Richard Black Professor, School of Natural Sciences

May 3, 2019

Thomas Haines

University of Maryland

May 2, 2019

The singularities in the reduction modulo $p$ of the modular

curve $Y_0(p)$ are visualized by the famous picture of two curves

meeting transversally at the supersingular points. It is a fundamental

question to understand the singularities which arise in the reductions

modulo $p$ of integral models of Shimura varieties. For PEL type

Shimura varieties with parahoric level structure at $p$, this question

has been studied since the 1990's. Due to the recent construction of

See agenda

April 26, 2019

Phyllis Lambert Charles Scribner III Nicola Courtright Jack Freiberg David A. Levine Frank Gehry Horst Bedekamp

April 26, 2019

Phyllis Lambert Charles Scribner III Frank Gehry Jack Freiberg David A. Levine Horst Bedekamp

April 26, 2019

Mirjam Cvetic

University of Pennsylvania

April 29, 2019

We present recent advances in constructions of globally consistent

F-theory compactifications with the exact chiral spectrum of the minimal

supersymmetric Standard Model. We highlight the first such example and

then turn to a subsequent systematic exploration of the landscape of

F-theory three-family Standard Models with a gauge coupling unification.

Employing algebraic geometry techniques, all global consistency

conditions of these models can be reduced to a single criterion on the

Clay Cordova

Member, School of Natural Sciences, IAS

April 26, 2019

Anomalies are invariants under renormalization group flow which lead to powerful constraints on the phases of quantum field theories. I will explain how these ideas can be generalized to families of theories labelled by coupling constants like the theta angle in gauge theory. Using these ideas we will be able to prove that certain systems, such as Yang-Mills theory in 4d, necessarily have a phase transition as these parameters are varied. We will also show how to use the same ideas to constrain the dynamics of defects where coupling constants vary in spacetime.

Frank Gehry & Gustavo Dudamel

April 25, 2019

Paolo Piccione

University of Sao Paulo

April 25, 2019

I will discuss a proof of the existence of infinitely many solutions for the singular Yamabe problem in spheres using bifurcation theory and the spectral theory of hyperbolic surfaces.

Various Speakers

March 19, 2019