SCGP: Workshop: Applications of Random Matrix Theory to many-body physics When: Mon, Sep 16 — Fri, Sep 20 For more information please visit: http://scgp.stonybrook.edu/archives/28586
Thursday, September 19
2:30pm YITP: Philip Armitage (SBU) Where: Math building 6125When: Thu, Sep 19 2:30pm — 3:30pm Title: "Open problems in planet formation"
Abstract: The formation and stability of the Solar System are classical problems that exercised Newton, Laplace, Poincare, and many others over the years. Following the discovery of the first extrasolar planets in 1995, it has become ever more clear that many planetary systems - including the most common examples - look qualitatively different from the Solar System, and this has prompted new thinking as to how planetary systems form and evolve. In this talk, I will give a brief overview of what we now know about the initial conditions and outcome of the planet formation process, and how we understand the physics at a back-of-the-envelope level. I will then discuss some open theoretical problems, and directions that we are pursuing to address them.
3:30pm SCGP: Quantum Mechanical Systems Program Seminar: David Pirtskhalava Where: 313When: Thu, Sep 19 3:30pm — 4:30pm Title: Field Theory for Quantum Matter in Dwarf Stars
Abstract: I will review arguments that support existence of a quantum phase of matter (a condensate of charged bosons) under conditions, found in dwarf stars. The precise properties of this phase and of its long-distance fluctuations can be explored with the help of an appropriate effective field theory. After formulating the latter theory, I will briefly discuss its implications for the cooling history of Helium white dwarf stars.
Friday, September 20
11:00am SCGP: Quantum Mechanical Systems Program Seminar: Anton de la Fuente Where: 313When: Fri, Sep 20 11:00am — 12:00pm
Abstract: We will explain what coherent sheaves are, some of their cohomological properties, and sketch a proof for a reconstructing theorem: good schemes are determined by their derived category of coherent sheaves. View Details
1:00pm Grad / Postdoc Professional Development Seminar: Erica Klarreich - On working as a math journalist Where: P-131When: Fri, Sep 20 1:00pm — 2:00pm Title: On working as a math journalist Speaker: Erica Klarreich [Freelance journalist]
Abstract: Erica Klarreich is a freelance journalist based in Berkeley, California. She has written for many publications, including Nature, Quanta Magazine, ScientificAmerican.com, New Scientist, American Scientist, Wired.com, Nautilus, and Science News. She is a graduate of the science writing program at the University of California, Santa Cruz, and has a Ph.D. in mathematics from Stony Brook University.
Erica's abstract: "I'll talk a bit about how I became a math journalist and what I do on a day-to-day basis, but mainly I'd like to answer people's questions." She will join us by video conference from Berkeley. View Details
1:30pm SCGP: Physics Seminar: Amit Sever When: Fri, Sep 20 1:30pm — 2:30pm Title: The Holographic Dual of Strongly γ-deformed N=4 SYM Theory
Abstract: We present a first-principles derivation of a weak-strong duality between the four-dimensional fishnet theory in the planar limit and a discretized string-like model living in AdS5. At strong coupling, the dual description becomes classical and we demonstrate explicitly the classical integrability of the model. We test our results by reproducing the strong coupling limit of the 4-point correlator computed before non-perturbatively from the conformal partial wave expansion. Next, by applying the canonical quantization procedure with constraints, we show that the model describes a quantum integrable chain of particles propagating in AdS5. Finally, we reveal a discrete reparametrization symmetry of the model and reproduce the spectrum when known analytically. Due to the simplicity of our model, it could provide an ideal playground for holography. Furthermore, since the fishnet model and N=4 SYM theory are continuously linked our consideration could shed light on the derivation of AdS/CFT for the latter. This talk is based on recent work with Nikolay Gromov.
2:30pm Dynamical Systems Seminar: Alena Erchenko - Flexibility of Lyapunov exponents with respect to two classes of measures on the torus Where: Math Tower P-131When: Fri, Sep 20 2:30pm — 3:30pm Title: Flexibility of Lyapunov exponents with respect to two classes of measures on the torus Speaker: Alena Erchenko [Stony Brook University]
Abstract: We consider a family of Anosov area-preserving diffeomorphisms on the two-torus that are homotopic to a fixed Anosov automorphism. There are several interesting classes of invariant measures. We will concentrate on the invariant measure that is absolutely continuous with respect to the Lebesgue measure and the measure of maximal entropy. We show that positive Lyapunov exponents with respect to these two probability measures in the considered family of diffeomorphisms take on all values that satisfy some well-known inequalities. View Details
Abstract: Colding's theorem on volume convergence is the cornerstone for the Cheeger-Colding theory. In this talk, I will discuss the proof of the theorem that the volume is a continuous function on the space of closed manifolds with uniform Ricci lower bound in Gromov-Hausdorff topology.
Reference: Tobias H. Colding, Ricci curvature and volume convergence
1:00pm Student Differential Geometry Seminar: Miao Song - The Laplacian on hyperbolic space Where: 5-127When: Mon, Sep 23 1:00pm — 2:30pm Title: The Laplacian on hyperbolic space Speaker: Miao Song [Stony Brook University]
12:30pm YITP: Anastasiia Filimonova (Heidelberg) -- "Long live the Higgs portal!" Where: Math building 6125When: Tue, Sep 24 12:30pm — 1:30pm Long live the Higgs portal! ~ In Higgs portal models of fermion dark matter, scalar couplings are unavoidably suppressed by strong bounds from direct detection experiments. As a consequence, thermal dark matter relics must coexist with mediators in a compressed spectrum of dark particles. Small couplings and small mass splittings lead to slow mediator decays, leaving signatures with displaced vertices or disappearing tracks at colliders. We perform a comprehensive analysis of long-lived mediators at the LHC in the context of a minimal dark matter model with a naturally small Higgs portal, also known as the wino-bino scenario in supersymmetry. Existing searches for disappearing charged tracks and displaced hard leptons already exclude tiny portal couplings that cannot be probed by current direct and indirect detection experiments. For larger portal couplings, we predict new signatures with displaced soft leptons, which are accessible with run-II data. Searches for displaced particles are sensitive to weakly coupling mediators with masses up to the TeV scale, well beyond the reach of prompt signals.
1:00pm SCGP: SCGP Weekly Talk: Uri Kol Where: 102When: Tue, Sep 24 1:00pm — 2:00pm Title: Infrared structure of general relativity
Wednesday, September 25
1:00pm Graduate Student Seminar: Myeongjae Lee - Nonplanarity of K3,3 and the Jordan Curve Theorem Where: Math Tower P-131When: Wed, Sep 25 1:00pm — 2:00pm Title: Nonplanarity of K3,3 and the Jordan Curve Theorem Speaker: Myeongjae Lee [Stony Brook University]
Abstract: A knot trace is a 4-manifold obtained by attaching a single 2-handle to the 4-ball along a knot in its boundary. These simple 4-manifolds arise naturally in many contexts, from the construction of exotic smooth structures on R^4 and small compact 4-manifolds to the recent proof that the Conway knot is not slice. After sketching these applications, we'll talk about the role knot traces play in Floer homology. View Details
Abstract: From a handlebody-theoretic perspective, the simplest compact, contractible 4-manifolds, other than the 4-ball, are Mazur manifolds. We produce the first pairs of Mazur manifolds that are homeomorphic but not diffeomorphic. Our diffeomorphism obstruction comes from the knot Floer homology concordance invariant nu, which we prove is an invariant of a simple 4-manifold associated to a knot, called the knot trace. In contrast, we also show that the concordance invariants tau and epsilon are not invariants of such 4-manifolds. As a corollary to the existence of exotic Mazur manifolds, we produce integer homology 3-spheres admitting two distinct S1xS2 surgeries, resolving a question from Problem 1.16 in Kirby's list. This is joint work with Tom Mark and Lisa Piccirillo.
2:30pm Analysis Seminar: Mihalis Mourgoglou - PDE-characterization of uniform rectifiability and the solvability of the $L^p$-Dirichlet problem. Where: P-131When: Thu, Sep 26 2:30pm — 3:30pm Title: PDE-characterization of uniform rectifiability and the solvability of the $L^p$-Dirichlet problem. Speaker: Mihalis Mourgoglou [UPV/EHU]
Abstract: In this talk we will discuss the connection between uniform rectifiability of the boundary of a domain with scale invariant PDE estimates for bounded harmonic functions as well as the geometric characterization of the solvability of the $L^p$-Dirichlet problem for the Laplace equation View Details