For more information: https://scgp.stonybrook.edu/archives/39862

Title:   General Free Fermionic and Parafermionic Quantum Chains
Speaker:   Francisco Alcaraz
Abstract:   TBA

Title:   Integrable and non-integrable quenches from AdS/CFT
Speaker:   Charlotte Kristjansen
Abstract:   TBA

Title:   Group Discussion

Title:   Tensor product random matrix theory
Speaker:   Alexander Altland
Abstract:   TBA

Title:   A Universal Model of Floquet Operator Krylov Space
Speaker:   Aditi Mitra
Abstract:   TBA

Title:   Arithmetic Electric-Magnetic Duality

Abstract:   The Langlands program is a grand organizing vision for a large slice of number theory and representation theory.
A shockingly accurate metaphor for the Langlands program has emerged as electric-magnetic duality in four-dimensional gauge theory, but where the role of spacetime is played by objects from arithmetic. I will discuss this general picture and begin to describe recent work with Yiannis Sakellaridis and Akshay Venkatesh, in which we apply ideas from QFT (the Gaiotto-Witten electric-magnetic duality for boundary theories) to a fundamental problem in number theory, predicting the relation between L-functions of Galois representations and integrals of automorphic forms.

Title:   Controlling Chaos with Measurements and Feedback
Speaker:   Jedediah Pixley
Abstract:   TBA

Title:   Measurement induced transition in long-range systems
Speaker:   Rosario Fazio
Abstract:   TBA

Title:   A measurement-only approach for entanglement transitions in a projective gauge-Higgs model
Speaker:   Tzu-Chieh Wei
Abstract:   TBA

Title:   No GT Seminar due to SCGP talk by David Ben-Zvi


Abstract:  
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Title:   Group Discussion

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Title:   Quantum Simulation of Dynamical Phases of BCS Superconductors
Speaker:   Ana Maria Rey
Abstract:   TBA

Title:   The Fate of Entanglement
Speaker:   William Witczak-Krempa
Abstract:   TBA

Title:   Fixed points, traces and characters

Abstract:   This talk will explore one of my favorite themes in mathematics: the abstract notion of a trace and its manifestation via fixed points in geometry and partition functions in quantum mechanics.  This relation gives rise to a sequence of increasingly sophisticated character formulas, as well as a broader sense of what characters are. I will conclude with a perspective on L-functions of Galois representations as characters, developed in my joint work with Yiannis Sakellaridis and Akshay Venkatesh. (The talk is meant to be independent of the previous day's talk but with a closely related end-point.)

Title:   Emergent Topology in Many-Body Dissipative Quantum Chaos
Speaker:   Jacobus Verbaarschot
Abstract:   TBA

Title:   TBA
Speaker:   David Ben-Zvi [University of Texas, Austin]

Abstract:  
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Title:   An Exceptional Approach to Kaluza-Klein Spectroscopy

Abstract:   The spectrum of light single-trace operators of holographic CFTs at strong coupling and large N, can be mapped to the spectrum of Kaluza-Klein (KK) excitations over the dual AdS supergravity solutions. Computing these KK spectra is usually a difficult task even for the simplest AdS solutions. In this talk, I will review new spectral methods based on Exceptional Field Theory, a duality-covariant reformulation of the higher-dimensional supergravities. For certain AdS/CFT dual pairs, these methods bypass the difficulties and reduce the KK spectral problem to simple diagonalisation of suitable mass matrices. I will illustrate these methods for the class of AdS4 solutions of M-theory and type II string theory that uplift consistently from D=4 maximal gauged supergravities. Also, I will describe progress to extend these methods to AdS solutions that uplift from half-maximal supergravities.

Title:   Integrability in the design and control of quantum devices
Speaker:   Angela Foerster
Abstract:   TBA

Title:   TBA
Speaker:   Eric Bedford [Stony Brook University]

Abstract:   TBA
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Title:   Steering far from equilibrium many-body quantum dynamics through chaos control
Speaker:   Klaus Richter
Abstract:   TBA

Title:   Higher Fano manifolds
Speaker:   Svetlana Makarova [Australian National University]

Abstract:   Fano manifolds are projective manifolds whose anticanonical class (determinant of the tangent bundle) is ample. The positivity condition has far-reaching geometric implications, e.g., a Fano manifold over complex numbers is simply connected, which has an analogue on the algebro-geometric side: any Fano manifold is covered by rational curves, and in fact rationally connected, i.e., there are rational curves connecting any two of its points. In a series of papers, De Jong and Starr introduce and investigate possible candidates for the notion of higher rationally connectedness, inspired by the natural analogue in topology, and define that a projective manifold X is 2-Fano if it is Fano and the second Chern character ch2(T_X) is positive (intersects positively with every surface in X). In a similar way, one defines n-Fano manifolds for any n ≥ 2; for instance, P^n is n-Fano.

In this talk, I will give evidence for the analogy with higher connectedness and present certain classification results. In the second half of the talk, I will focus on the recent progress towards proving the conjecture that the only toric higher Fano manifolds are projective spaces.
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Title:   Group Discussion

Title:   Time evolution in isolated quantum systems out of equilibrium
Speaker:   Gesualdo Delfino
Abstract:   TBA

Title:   Counterflow superfluids and transverse quantum fluids: When Mottness cooperates with supertransport
Speaker:   Boris Svistunov
Abstract:   TBA

Title:   TBA
Speaker:   Daniel Alvarez-Gavela [MIT]

Abstract:   TBA
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Title:   Super-and subdiffusion in classical spin chains
Speaker:   Roderich Moessner
Abstract:   TBA

Title:   Revisiting Localization, Periodicity and Galois Symmetry
Speaker:   Runjie Hu [Stony Brook University]

Abstract:   It is known that two complex algebraic varieties can be algebraically isomorphic but not\r\nbe homeomorphic. Such examples can be obtained by changing the coefficients of the\r\ndefining equations by some field automorphism of a finite extension of the rationals Q.\r\nThis dissertation aims to understand how the entire Galois group of Q-bar, the algebraic\r\nclosure of Q, changes the underlying manifold structures of smooth complex varieties\r\ndefined by equations with coefficients in Q-bar. It is known by the theory of finite covering\r\nspaces (étale theory) that the Galois action does not change that aspect of the homotopy\r\ntype determined by finite group theory (the profinite homotopy type). Thus we can use the\r\nknown theory of manifolds in a given homotopy type to study the Galois conjugates of\r\nalgebraic varieties in a given étale homotopy type. We study three aspects of this problem:\r\n(1) what algebraic-topological data is sufficient to specify a topological manifold in a\r\nhomotopy type; (2) what might be the étale construction for manifolds; (3) how might one\r\nexpress the Galois action in terms of the algebraic-topological data. We suggest an approach\r\nusing the study in (2) in order to propose a geometric interpretation of the question in (3).
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Title:   Quantum Mpemba effect
Speaker:   Pasquale Calabrese
Abstract:   TBA

Title:   TBA
Speaker:   Maxim Jeffs [Stony Brook University]

Abstract:  
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Title:   Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
Speaker:   Olexei Motrunich
Abstract:   TBA

Title:   Group Discussion

 Last day to take a leave of absence or withdraw from the University. Students can process via SOLAR

Last day for Spring/Summer degree candidates to apply for graduation via SOLAR. Applications submitted after 4/10/24 will not appear in the commencement publication

Title:   The Kondo model at large spin
Speaker:   Max Metlitski
Abstract:   TBA

Title:   Degeneration techniques in complex geometry
Speaker:   Roberto Albesiano [Stony Brook University]

Abstract:   In 2009, B. Berndtsson proved a theorem on the positivity of direct image bundles of\r\npositive line bundles. Berndtsson’s theorem has been successfully used to give radically\r\nnew proofs of some fundamental theorems in the part of complex geometry often referred\r\nto as $L^2$ methods; proofs that are based on the monotonicity of certain degenerations into\r\nsituations in which the results are obvious, and that reveal an unexpected underlying\r\nconvexity. Among these is a proof of the $L^2$ extension with sharp estimates. As a step\r\ntowards determining how much of the classical $L^2$ theory can be recovered by this\r\ntechnique, we will present a new proof of a Skoda-type $L^2$ division theorem.
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Title:   Inhomogeneous quantum quench in (1+1)d conformal field theory
Speaker:   Shinsei Ryu
Abstract:   TBA

Title:   The finite-area holomorphic quadratic differentials and the geodesic flow on infinite Riemann surface
Speaker:   Dragomir Saric [Queens College CUNY]

Abstract:   Let $X$ be an infinite Riemann surface with a conformally hyperbolic metric. The Hopf-Tsuji-Sullivan theorem states that the geodesic flow is ergodic iff the Poincare series is divergent iff the Brownian motion is recurrent, and many other equivalent conditions are given in the literature. We added an equivalent condition: the Brownian motion on $X$ is recurrent iff almost every horizontal leaf of every finite-area holomorphic quadratic differential is recurrent.

A finite-area holomorphic quadratic differential on $X$ is uniquely determined by the homotopy class of its horizontal foliation, uniquely represented by a measured geodesic lamination on $X$. Most measured geodesic laminations do not come from the horizontal foliations of finite-area differentials. The problem of intrinsically deciding which measured laminations are induced by finite-area differentials is highly transcendental. From now on, assume that $X$ is equipped with a geodesic pants decomposition whose cuffs are bounded. The space of finite-area holomorphic quadratic differentials on $X$ is in a one-to-one correspondence with the measured geodesic laminations on $X$ whose intersection numbers with the cuffs (and “adjoint cuffs”) are square summable. Using this parametrization, we establish that the Brownian motion on $X$ is recurrent iff the simple random walk on the graph dual to the pants decomposition is recurrent.

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Title:   Negative tripartite information after quantum quenches in integrable systems
Speaker:   Vincenzo Alba
Abstract:   TBA

Title:   Hydrodynamic transport of Dirac plasma in graphene
Speaker:   Alex Levchenko
Abstract:   TBA

Title:   C^2 STRUCTURALLY STABLE RIEMANNIAN GEODESIC FLOWS OF CLOSED SURFACES ARE ANOSOV
Speaker:   Marco Mazzucchelli [ENS Lyon]

Abstract:   A celebrated claim of Poincaré asserts that any positively-curved Riemannian 2-sphere has a (possibly degenerate) elliptic closed geodesic. This claim has been confirmed generically by Contreras and Oliveira, without requirements on the curvature: a C^2 generic Riemannian metric on the 2-sphere has an elliptic closed geodesic. In this talk, I will present a generalization of this result to arbitrary closed surfaces: a C^2 generic Riemannian metric on a closed surface has either an elliptic closed geodesic or an Anosov geodesic flow. A consequence of this statement is a confirmation of the C^2 stability conjecture for Riemannian geodesic flows of closed surfaces: any such geodesic flow that is C^2 structurally stable within Riemannian geodesic flows must be Anosov. The proof is based on a new characterization of Anosov Reeb flows of closed contact 3-manifolds. This is joint work with Gonzalo Contreras.
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Title:   Spectral Form Factors of attractively interacting fermions
Speaker:   Victor Gurarie
Abstract:   TBA

Title:   Group Discussion

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Title:   Topics in Quantitative Rectifiability: Traveling Salesmen, Lipschitz Decompositions, Densities, and Big Pieces
Speaker:   Jared Krandel [Stony Brook University]

Abstract:   We present and prove assorted results in quantitative rectifiability. First, we study the quantitative rectifiability of Jordan arcs in Hilbert spaces, proving a version of the traveling salesman beta number estimate for length minus chord length analogous to an estimate recently attained by Bishop in Euclidean spaces. Second, we prove the existence of Lipschitz decompositions for domains with quantitatively flat boundaries. That is, we show any such domain has an "almost" decomposition into nice Lipschitz domains with control on the total surface area of the decomposition domains in terms of the original domain boundary area. Third, we study the regularity of Hausdorff measure on uniformly rectifiable metric spaces. We show that any such space satisfies the weak constant density condition of David and Semmes. Fourth, we study the iteration of the big pieces operator in Ahlfors regular metric spaces. We prove that iteration stabilizes after two iterations as a result of a more general extension theorem.
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Title:   Equivariant Lagrangian Floer Theory on Compact Toric Manifolds
Speaker:   Yao Xiao [Stony Brook University]

Abstract:   We define an equivariant Lagrangian Floer theory on compact symplectic toric\r\nmanifolds for the subtorus actions. We prove that the set of Lagrangian torus fibers (with\r\nweak bounding cochain data) with non-vanishing equivariant Lagrangian Floer\r\ncohomology forms a rigid analytic space. We can apply tropical geometry to locate such\r\nLagrangian torus fibers in the moment polytope. We prove, in certain cases, that the\r\ndimension of such a rigid analytic space is equal to that of the acting group. In addition,\r\nwe apply equivariant theory to show that moment Lagrangian correspondences are\r\nunobstructed after bulk deformation.
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Speaker:   Assaf Naor (Princeton University)

Title:   Unplanned consequences of the Ribe program, part I: Introduction

Abstract:   Almost 50 years ago, Martin Ribe proved a remarkable geometric rigidity theorem for normed spaces. This inspired an intricate web of conjectures and analogies that aims to transfer phenomena, concepts and intuitions from the structured realm of linear spaces to the seemingly uncontrollably diverse world of general metric spaces. While research on this program has led to powerful, creative and deep discoveries, numerous mysteries remain. These talks will start by introducing the audience to the aforementioned research endeavor, which is known today as the “Ribe program,” assuming no prior knowledge of it. This program naturally enhanced our understanding of the structure of normed spaces, and we will indeed present examples of this, but our main focus will quickly shift to describing some of its unplanned applications. Namely, we will demonstrate how it informs us about objects that are further afield, such as groups, curvature, algorithms and probability.

Title:   Lecture 1: Unplanned consequences of the Ribe program, part I: Introduction
Speaker:   Assaf Naor [Princeton University]

Abstract:   Almost 50 years ago, Martin Ribe proved a remarkable geometric rigidity theorem for normed spaces. This inspired an intricate web of conjectures and analogies that aims to transfer phenomena, concepts and intuitions from the structured realm of linear spaces to the seemingly uncontrollably diverse world of general metric spaces. While research on this program has led to powerful, creative and deep discoveries, numerous mysteries remain. These talks will start by introducing the audience to the aforementioned research endeavor, which is known today as the “Ribe program,” assuming no prior knowledge of it. This program naturally enhanced our understanding of the structure of normed spaces, and we will indeed present examples of this, but our main focus will quickly shift to describing some of its unplanned applications. Namely, we will demonstrate how it informs us about objects that are further afield, such as groups, curvature, algorithms and probability.
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