Where: MATH2300

Speaker: Jakob Hultgren (Chalmers University) -

Where: 2300.0

Speaker: Y.A. Rubinstein (UMD) -

Abstract: I will continue the proof of the G\"artner-Ellis theorem from my course (Math 742: Geometric Analysis)

Where: MATH 2300

Speaker: Klaus Kroencke (Hambrug) -

Abstract: We prove that if an ALE Ricci-flat manifold (M,g) is linearly stable and integrable, it is dynamically stable under Ricci flow, i.e. any Ricci flow starting close to g exists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close to g. By adapting Tian's approach in the closed case, we show that integrability holds for ALE Calabi-Yau manifolds which implies that they are dynamically stable. This is joint work with Alix Deruelle.

Where: MATH2300

Speaker: Joel Spruck (JHU) -

Abstract: We prove that any complete immersed two sided mean convex translating 3D soliton Sigma for the mean curvature flow is convex. As a corollary it follows that any entire mean convex graphical translating soliton in R^3 is the axisymmetric ''bowl soliton''. We also show that if the mean curvature of Sigma tends to zero at infinity, then Sigma can be represented as an entire graph and so is the bowl soliton. Finally we classify all locally strictly convex graphical translating solitons defined over strip regions (the only other possibility).This is joint work with Ling Xiao.

Where: MATH2300

Speaker: Yannick Sire (JHU) -

Abstract: In a seminal paper, Graham and Zworksi developed a new theory for GJMS operators, which are conformally covariant operators of higher order. I will explain this theory, based on scattering theory on Poincare-Einstein manifolds and move on to extend some results on the Yamabe problem to several recent cases in the regular and singular case.

Where: MATH2300

Speaker: Yanir Rubinstein (UMD) -

Where: MATH2300

Speaker: Alejandro Diaz (UMD) -

Abstract: The isoperimetric problem with a density or weight-

ing seeks to enclose prescribed weighted volume with minimum

weighted perimeter. According to Chambers’ recent proof of the

log-convex density conjecture, for many densities on R^n the answer

is a sphere about the origin. We seek to generalize his results to

some other spaces of revolution or to two different densities for

volume and perimeter. We provide general results on existence

and boundedness and their proofs.

Where: MATH 2300

Speaker: Matthew Dellatorre (UMD) -

Where: math 2300

Speaker: Matt Dellatorre (umd) -

Where: Kirwan Hall 2300

Speaker: Eleonora Di Nezza (IHES) -

Abstract: In this talk we present a proof of the log-concavity property of total masses of positive currents on a given compact Kähler manifold, that was conjectured by Boucksom, Eyssidieux, Guedj and Zeriahi. The proof relies on the resolution of complex Monge-Ampère equations with prescribed singularities. This is based on a joint work with Tamas Darvas and Chinh Lu.

Where: Math 2300

Speaker: Ovidiu Munteanu (University of Connecticut) -

Abstract: I will describe recent results about the asymptotic geometry of complete four dimensional shrinking Ricci solitons. These are self similar solutions to the Ricci flow and appear in blowups of singularities of the flow

Where: Math 2300

Speaker: Reza Seyyedali (Howard University) -

Abstract: In 2001, Donaldson proved that any constant scalar curvature polarized manifold is asymptotically Chow stable provided that the group of hamiltonian athromorphisms is discrete. In this talk, we discuss some generalization of Donaldson's result to extremal metrics.

Where: Math 2300

Speaker: Jingrui Cheng (Wisconsin) -

Abstract: We develop apriori estimates for scalar curvature type equations on compact Kahler manifolds. As an application, we show that K-energy being proper with respect to L^1 geodesic distance implies the existence of constant scalar curvature Kahler metrics. This is joint work with Xiuxiong Chen.