BEGIN:VCALENDAR VERSION:2.0 PRODID:Data::ICal 0.22 BEGIN:VEVENT DESCRIPTION:Saso Grozdanov\, MIT\n\n
Hydrodynamics is a theory of the collective prop erties of fluids and gases that can also be successfully applied to the de scription of the dynamics of quark-gluon plasma. It is an effective field theory formulated in terms of an infinite-order gradient expansion. For an y collective physical mode\, hydrodynamics will predict a dispersion relat ion that expresses this mode&rsquo\;s frequency in terms of an infinite se ries in powers of momentum. By using the theory of complex spectral curves from the mathematical field of algebraic geometry\, I will describe how t hese dispersion relations can be understood as Puiseux series in (fraction al powers of) complex momentum. The series have finite radii of convergenc e determined by the critical points of the associated spectral curves. For theories that admit a dual gravitational description through holography\, the critical points correspond to level-crossings in the quasinormal spec trum of a dual black hole. Interestingly\, holography implies that the con vergence radii can be orders of magnitude larger than what may be naively expected. This fact could help explain the &ldquo\;unreasonable effectiven ess of hydrodynamics&rdquo\; in describing the evolution of quark-gluon pl asma. In the second part of my talk\, I will discuss a recently discovered phenomenon called &ldquo\;pole-skipping&rdquo\; that relates hydrodynamic s to the underlying microscopic quantum many-body chaos. This new and spec ial property of quantum correlation functions allows for a precise analyti c connection between resummed\, all-order hydrodynamics and the properties of quantum chaos (the Lyapunov exponent and the butterfly velocity).
\n DTSTART:20200116T174500Z LOCATION:Physics Building\, Room 313 SUMMARY:From hydrodynamics to quantum chaos END:VEVENT END:VCALENDAR