Observance
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Title: “On Finite Cutoff Holography and JT Gravity”
Title: “The geometry and renormalized volume of hyperbolic 3-manifolds”
Title: The geometry and renormalized volume of hyperbolic 3-manifolds
Abstract: We will review basic properties of 3-dimensional hyperbolic manifolds, in particular convex co-compact manifolds. We will then introduce their renormalized volume, as well as the volume of their convex core, focusing on similarities in their key properties, and their relation. The course will present several old or more recent open problems, sometimes motivated by physics.
Title: The geometry and renormalized volume of hyperbolic 3-manifolds
Abstract: We will review basic properties of 3-dimensional hyperbolic manifolds, in particular convex co-compact manifolds. We will then introduce their renormalized volume, as well as the volume of their convex core, focusing on similarities in their key properties, and their relation. The course will present several old or more recent open problems, sometimes motivated by physics.
Title: Self-similarity: two examples of singularity formation.
Abstract: I will discuss and illustrate the role of self-similarity in singularity formation in PDE’s on two examples. The first is the role played by the self-similar solutions of the compressible Euler equations in the proof of a finite time blow up for the energy super-critical nonlinear Schrodinger and the compressible Navier-Stokes equations. The second is in the context of the Einstein vacuum equations of general relativity and involves a geometric notion of “twisted self-similarity” which plays an important role in the proof of existence of vacuum spacetimes with naked singularities.
Title: Action of SLE and its holographic expression as a renormalized volume
Title: Action of SLE and its holographic expression as a renormalized volume
Title: Critical collapse in 2+1 gravity
Abstract: I will discuss joint work with S. Cicortas addressing existence of naked singularities in 2+1 dimensional Einstein equations with negative cosmological constant which turn out to describe a transition from a non-collapsing to a black hole forming regime.
Title: SLE and Random Geometry
Title: SLE and Random Geometry
Last day for Spring /Summer 2026 degree candidates to apply for graduation and be included in the commencement publication. Students apply via SOLAR
Observance
To hide observances, go to Google Calendar Settings > Holidays in United States