## Evolutionary Dynamics and Population Genetics

Michael Desai

July 16, 2019

Michael Desai

July 16, 2019

Nick Patterson

July 16, 2019

Arnold Levine

IAS

July 15, 2019

David Ting

July 15, 2019

Jared Speck

June 13, 2019

I will describe my recent works, some joint with M.\,Disconzi and J.\,Luk, on the compressible Euler equations and their relativistic analog. The works concern solutions with non-vanishing vorticity and entropy, under any equation of state.

The starting point is our new formulations of the equations exhibiting miraculous geo-analytic structures, including

The starting point is our new formulations of the equations exhibiting miraculous geo-analytic structures, including

Marcus Khuri

June 13, 2019

Jim Isenberg

June 13, 2019

We consider analytic, vacuum spacetimes that admit compact, non-degenerate Cauchy horizons. Many years ago Vince Moncrief and I proved that, if the null geodesic generators of such a horizon were all closed curves, then the enveloping spacetime would necessarily admit a non-trivial, horizon-generating Killing vector field.

Jerome Gauntlett

Imperial College London

June 5, 2019

We consider supersymmetric $AdS_3\times Y_7$ solutions of type IIB supergravity dual to N=(0,2) SCFTs in d=2, as well as $AdS_2\times Y_9$ solutions of D=11 supergravity dual to N=2 supersymmetric quantum mechanics, some of which arise as the near horizon limit of supersymmetric, charged black hole solutions in $AdS_4$. The geometry underlying these solutions was first identified in 2005-2007. Around that time infinite classes of explicit supergravity solutions were also found but, surprisingly, there was little progress in identifying the dual SCFTs.

Elon Lindenstrauss

June 4, 2019

Svetlana Jitomirskaya

June 4, 2019