Leonard M. Blumenthal Lectures in geometry
André Neves (University of Chicago)
29.05.2024, 17:10 (Wednesday) Zoom session
Title: Abundance of minimal hypersurfaces
Abstract:
Minimal surfaces are physical objects which appear naturally in math and applied science. In the 80’s Yau conjectured that any closed Riemannian manifold should have an infinite number of closed minimal hypersurfaces. For 30 years little progress was made but over the last 10 years a renewed interest on the problem led to its complete solution. I will survey the results, the new ingredients, and the current state of the art.
Leonard M. Blumenthal Lectures in Geometry is a distinguished lecture series delivered each academic year at School of Mathematical Sciences, Tel Aviv University. Former speakers include
Helmut Hofer, Aleksey Pogorelov, Gilles Pisier, Marcel Berger as well as
2002-2003 Viktor L. Ginzburg (UC Santa Cruz) Periodic orbits of Hamiltonian systems:
twisted geodesic flows and relative symplectic invariants-I,II
2003-2004 Alexander Givental (UC Berkeley) Symmetries of Gromov-Witten Theory-I,II
2004-2005 Dmitri Burago (Penn State) Choosing "good" coordinates: from asymptotic geometry of tori to boundary rigidity-I.II
2005-2006 Shmuel Weinberger (U. Chicago)
I. Using the telescope as a microscope: Large scale determination of small scale structure
II. Novikov conjectures and Novikov theorems
2006-2007 Michael Kapovich (University of California, Davis)
I. Products of matrices
II. How to compute triangle inequalities
2007-2008 Albert Fathi (ENS-Lyon) ( abstracts)
I. On smooth critical subsolutions of the Hamilton-Jacobi equation
II. Hamilton-Jacobi and Denjoy-Schwartz: why dynamics matters
in the regularity of smooth subsolutions?
2007-2008 Shlomo Sternberg (Harvard)
A report on recent work of Alekseev, Bursztyn and Meinrenken
I. The symplectic category and the split orthogonal category
II. The Alekseev, Bursztyn, Meinrenken category
III. Dirac structures and Dirac morphisms
2009 Yakov Eliashberg (Stanford)
I. Construction and application of maps with simple singularities
II. Symplectic topology of Stein manifolds
For the abstracts click here
2011 Helmut Hofer (IAS, Princeton)
I. Symplectic Dynamics
II. Generalizations of Fredholm theory.
For the abstracts click here
2012 Paul Biran (ETH, Zurich)
Lagrangian topology: geometry, algebra and bureaucracy
I. Old and new invariants of Lagrangian manifolds and what to do with them
II. Geometric and algebraic aspects of Lagrangian topology
and organizational matters
Abstracts of Blumenthal Lectures 2012
2013 Danny Calegari (University of Chicago)
Surfaces from linear programming
Abstract of Blumenthal Lectures 2013
2014 Nicolai Reshetikhin (UC Berkeley)
I. Deterministic limit shapes in statistical mechanics
II. Ice and 6-vertex models in statistical mechanics: mathematical perspective
Abstract of Blumenthal Lectures 2014
2015 Richard Evan Schwartz (Brown University)
I. The projective heat map
II. The plaid model
Abstracts of Blumenthal Lectures 2015
2016 Bo Berndtsson (Chalmers University of Technology)
Complex Brunn-Minkowski Theory
Abstracts of the Blumenthal lectures 2016
2017 Yair Minsky (Yale University)
Gluing hyperbolic 3-manifolds
Abstracts of the Blumenthal Lectures 2017
2018 Peter Ozsvath (Princeton University)
Knot Floer Homology
Abstracts of Blumenthal Lectures 2018
2019 Gang Tian (Peking University, Princeton University)
I. Analytic minimal model program
II. Recent progress on Kahler-Ricci flow
Abstracts of Blumenthal Lectures 2019
2019-2020 Sergei Tabachnikov (Penn State University)
I, Four equivalent properties of integrable billiards
II. Introducing symplectic billiards
Abstracts of Blumenthal Lectures 2019-2020
2022-2023 Grigory Mikhalkin (University of Geneva)
I. Toric geometry and tropical trigonometry
II. Tropical, real, and symplectic geometry
Abstracts of Blumenthal Lectures 2022-2023