Tuesday, October 24
SCGP: Geometry of Manifolds
When:        Mon, Oct 23    — Fri, Oct 27   
For more information please visit: http://scgp.stonybrook.edu/archives/21023

10:30am    SCGP: Fluid Dynamics Program Seminar: Takeshi Matsumoto (Department of Physics, Kyoto University)
Where:      SCGP 313When:        Tue, Oct 24    10:30am — 12:30pm
Title:          Toward numerical implementation of the construction of dissipative Euler solutions with the Mikado flow

Abstract:    Buckmaster, De Lellis, Szekelyhidi and Vicol updated recently a mathematical construction of weak solutions of the Euler equation with a prescribed energy as a function of time (arXiv:1701.08678). Moreover as well as the energy we can control the Holder exponent of the solution, which can be arbitrary close to 1/3. In the construction, so-called Mikado flow (a set of slender jets) plays an important role. We see a great potential of the solutions for a test tube of turbulence problem. Some of the quantities of interest are not easy to evaluate mathematically. Hence its numerical implementation of their method is needed. We present our ongoing work on translating their mathematical construction into a numerical simulation.

2:00pm    SCGP: SCGP Weekly Talk: Tobias Colding
Where:      SCGP 102When:        Tue, Oct 24    2:00pm — 3:00pm
Title:          Optimal regularity for geometric flows

Abstract:    Many physical phenomema lead to tracking moving fronts whose speed depends on the curvature. The level set method has been tremendously succesful for this, but the solutions are typically only continuous. We will discuss results that show that the level set flow has twice differentiable solutions. This is optimal.

These analytical questions crucially rely on understanding the underlying geometry. Further developing these geometric techniques gives solutions to other analytical questions like Arnold-Thom conjectures for degenerate equations.

Finally, the techniques should have applications to other geometric flows. If time permits, then we will discuss results about this.

Hashtag: #workshop

4:00pm    Geometry/Topology Seminar: Mark Haskins - Codimension One Collapse and Special Holonomy Metrics
Where:      SCGP 102When:        Tue, Oct 24    4:00pm — 5:30pm
Title:          Codimension One Collapse and Special Holonomy Metrics
Speaker:   Mark Haskins [University of Bath]

Abstract:    In this talk we describe recent developments related to codimension one collapse of exceptional holonomy metrics. i.e. where a family of special holonomy metrics on a space of dimension n converges in some limit to a metric on a space of dimension n-1. Interesting examples occur for hyperkaehler 4-manifolds, G_2 holonomy manifolds and Spin_7 holonomy manifolds. The talk will focus on the G_2 holonomy case, but will also draw on the better understood hyperkaehler case for inspiration and for useful analogies. These mathematical developments are closely related to important limits in physics, e.g. in the context of G_2 holonomy metrics it is related to the identification of the weak coupling limit of M theory compactified on a G_2 holonomy space being Type IIA String Theory on a 6-dimensional space. This is work joint with Lorenzo Foscolo and Johannes Nordstrom.
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5:25pm    First and Second Year Student Seminar: Panel discussion - Prepare qual/comps
Where:      Math Tower 5-127When:        Tue, Oct 24    5:25pm — 6:30pm
Title:          Prepare qual/comps
Speaker:   Panel discussion [Stony Brook University]

Abstract:    We will hold a discussion session with Ben Wu, Tobias Shin, Liz Hernandez Vazquez, and Aleksandar Milivojevic about preparing/taking qual/comps.
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Wednesday, October 25
1:00pm    Graduate Student Seminar: Yoon-Joo Kim - Arithmetic and geometry of Dedekind domains
Where:      Math Tower P-131When:        Wed, Oct 25    1:00pm — 2:00pm
Title:          Arithmetic and geometry of Dedekind domains
Speaker:   Yoon-Joo Kim [Stony Brook University]

Abstract:    Dedekind domain was originally defined in the late 19th century to solve Fermats last theorem. Although the attempt was not successful, it turned out Dedekind domains naturally arise in the study of algebraic numbers and Riemann surfaces. This explains a surprising amount of similarities between the two theories. In this talk, we will use the intuition from geometry of Riemann surfaces to understand the analogous results in classical number theory.
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1:30pm    SCGP: Physics Seminar: Jerome Gauntlett
Where:      SCGP 313When:        Wed, Oct 25    1:30pm — 2:30pm
Title:          Holographic Transport and Black Hole Horizons

Abstract:    In seeking possible applications of holography to real materials the transport of heat and charge are basic physical
observables to analyse. Like the entropy and conserved charges we explain how the DC thermoelectric conductivity
can be obtained from the behaviour of black hole spacetimes purely at the horizon. More precisely, the DC
conductivity can be obtained by solving a generalised set of Navier-Stokes
equations for an auxiliary fluid living on the black hole horizon. Unlike other connections
between fluids and black holes, this is an exact result and and can be viewed as a precise manifestation
of the old membrane paradigm for black holes in holography. We also derive
the dispersion relations for quasi-normal hydrodynamic modes associated with diffusion of heat and charge,
obtaining a generalised Einstein relation from Einstein equations.

2:30pm    YITP: CANCELLED: Joint BNL-YITP seminar @ YITP
When:        Wed, Oct 25    2:30pm — 3:30pm

4:00pm    Analysis Student Seminar: Edward Bryden - Second Variation Formula, Morse Index, and Stability
Where:      Math Tower 5-127When:        Wed, Oct 25    4:00pm — 5:00pm
Title:          Second Variation Formula, Morse Index, and Stability
Speaker:   Edward Bryden [Stony Brook University]

Abstract:    Having developed the second variation formula last week, we continue our discussion by introducing stability and the Morse index.
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4:00pm    Algebraic geometry seminar: Sebastian Casalaina-Martin - Algebraic representatives and intermediate Jacobians over perfect fields
Where:      Math Tower P-131When:        Wed, Oct 25    4:00pm — 5:30pm
Title:          Algebraic representatives and intermediate Jacobians over perfect fields
Speaker:   Sebastian Casalaina-Martin [U. of Colorado,. Boulder]

Abstract:    Intermediate Jacobians and Abel--Jacobi maps provide a powerful tool for the study of complex projective manifolds. In positive characteristic, over algebraically closed fields, algebraic representatives and regular homomorphisms provide a replacement for the intermediate Jacobian and Abel--Jacobi map. I will discuss recent progress, with Jeff Achter and Charles Vial, extending this theory to the case of perfect fields, as well as some applications to a question of Barry Mazur on weight one Galois representations arising from geometry.
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Thursday, October 26
2:30pm    YITP: Theory seminar: Stefano Negro (YITP) "Non-Wilsonian RG flows and the TTbar perturbation of 2D QFT"
Where:      YITP common roomWhen:        Thu, Oct 26    2:30pm — 3:30pm
Abstract:    Since many year it is known that the confining flux tube between a quark and an anti-quark in D dimensions can be very efficiently described by the Conformal Field Theory of D-2 massless free bosons. The deviation from this theory are then well approximated by Nambu-Goto string action. Recently it was observed that these deviation can be realized, in the S-matrix framework, as the deformation of the free boson scattering matrix by a CDD factor. After a brief review of the effective string theory for confining quark-anti-quark flux tube, I will show how the presence of a non-trivial CDD factor can be interpreted as a deformation of the CFT action by an irrelevant operator constructed from the energy-momentum tensor components. This deformation enjoys peculiar properties and allows for an exact determination of the spectrum which involves an hydrodynamic-type equation. I will present the properties of this deformation and show how it can be extended to a generic, not necessarily integrable, QFT.

4:00pm    Colloquium: Peter Kronheimer - Simon Donaldson's Mathematics: A Retrospective
Where:      SCGP 102When:        Thu, Oct 26    4:00pm — 5:30pm
Title:          Simon Donaldson's Mathematics: A Retrospective
Speaker:   Peter Kronheimer [Harvard University]

Abstract:    This talk will provide a personal perspective on some of Simon Donaldson's
many important contributions to the geometry and topology of manifolds.
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Friday, October 27
2:30pm    Dynamical Systems Seminar: Babak Modami - Renormalization in Teichmuller dynamics
Where:      Math Tower P-131When:        Fri, Oct 27    2:30pm — 3:30pm
Title:          Renormalization in Teichmuller dynamics
Speaker:   Babak Modami [Stony Brook University]

Abstract:    After a brief review of Masur's criterion which is an example of the renormalization technique in Teichmuller dynamics, we show that an analogue of the criterion does not hold for the Weil-Petersson geodesic flow. The talk is based on a joint work with Jeff Brock from 2015.
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Monday, October 30
1:00pm    RTG Seminar: Yoonjoo Kim - Degenerations of Hodge Structures
Where:      5-127When:        Mon, Oct 30    1:00pm — 2:00pm
Title:          Degenerations of Hodge Structures
Speaker:   Yoonjoo Kim [Stony Brook University]

Abstract:    TBA
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4:00pm    Special Algebra / Algebraic Geometry Seminar: Remy van Dobben de Bruyn - Dominating varieties by liftable ones.
Where:      Math Tower P-131When:        Mon, Oct 30    4:00pm — 5:30pm
Title:          Dominating varieties by liftable ones.
Speaker:   Remy van Dobben de Bruyn [Columbia University]

Abstract:    Given a smooth projective variety over an algebraically closed field of positive characteristic, can we always dominate it by another smooth projective variety that lifts to characteristic 0? We give a negative answer to this question.
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Tuesday, October 31
When:        Tue, Oct 31   

1:00pm    SCGP: SCGP Weekly Talk: Olaf Hohm
Where:      SCGP 102When:        Tue, Oct 31    1:00pm — 2:00pm
Title:          L-infinity algebra and field theory

4:00pm    Geometry/Topology Seminar: Nishanth Gudapati - TBA
Where:      Math Tower P-131When:        Tue, Oct 31    4:00pm — 5:30pm
Title:          TBA
Speaker:   Nishanth Gudapati [Yale University]

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Wednesday, November 1
1:00pm    Graduate Student Seminar: Chase Middleman - TBA
Where:      Math Tower P-131When:        Wed, Nov 1    1:00pm — 2:00pm
Title:          TBA
Speaker:   Chase Middleman [Stony Brook University]

Abstract:    TBA
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1:30pm    SCGP: Physics Seminar: Pietro Benetti Genolini
Where:      SCGP 313When:        Wed, Nov 1    1:30pm — 2:30pm


4:00pm    Analysis Student Seminar: Jack Burkart - Weierstrass Representation and The Strong Maximum Principle
Where:      Math Tower 5-127When:        Wed, Nov 1    4:00pm — 5:00pm
Title:          Weierstrass Representation and The Strong Maximum Principle
Speaker:   Jack Burkart [Stony Brook University]

Abstract:    We'll discuss the following things:
1. The Weierstrass representation of a minimal surface.
2. The Schwarz Reflection Principle
3. The Strong Maximum Principle for minimal hypersurfaces.
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4:00pm    Algebraic geometry seminar: Inna Zakharevich - Constructing derived motivic measures
Where:      Math Tower P-131When:        Wed, Nov 1    4:00pm — 5:30pm
Title:          Constructing derived motivic measures
Speaker:   Inna Zakharevich [Cornell]

Abstract:    Motivic measures can be thought of as homomorphisms out of the Grothendieck ring of varieties. Two well-known such measures are the Larsen--Lunts measure (over $\mathbf{C}$) and the Hasse--Weil zeta function (over a finite field). In this talk we will show how to lift the Hasse--Weil zeta function to a map of $K$-theory spectra which restricts to the usual zeta function on $K_0$. As an application we will show that the Grothendieck spectrum contains nontrivial elements in the higher homotopy groups.
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