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Northern California Symplectic Seminar

Past Events

Apr
07
Date4:00 PM
Location
383N
Speaker
Jae Hee Lee (Stanford)

Abstract: In positive characteristic, on one hand the quantum D-module (from Gromov--Witten theory) carries extra central endomorphisms known as quantum Steenrod operations. On the other hand, in representation theory, the algebra of differential operators also carry a "large center" in positive…

Apr
07
Date2:30 PM
Location
384H
Speaker
Basak Gurel (University of Central Florida)

Abstract: The presence of hyperbolic periodic orbits or invariant sets often has an effect on the global behavior of a symplectic dynamical system. In this talk we discuss two theorems along the lines of this phenomenon, extending some properties of Hamiltonian diffeomorphisms to dynamically…

Mar
03
Date4:00 PM
Location
383N
Speaker
Constantin Teleman (UC Berkeley)

Relying on Morse theory and an Euler class argument of Atiyah and Bott, Frances Kirwan proved two important results about the rational cohomology of compact symplectic manifold X with the Hamiltonian action of a connected, compact group G: equivariant formality, or the triviality of the G-action…

Feb
03
Date4:00 PM
Location
Berkeley, room 732 Evans
Speaker
Adriano Tomassini (University of Parma)

Abstract: We will present some recent results on the existence of special structures on compactnon Kahler manifolds obtained as quotients of Cn ⋉ Cm. More in particular, we will focus on p-Kahler structures and on symplectic structures satisfying the hard Lefschetz condition. Bott-Chern and…

Feb
03
Date2:30 PM
Location
Berkeley, room 732 Evans
Speaker
Leonid Polterovich (Tel Aviv University and University of Chicago)

Abstract: I will discuss the asymptotic growth of autonomous Hamiltonian flows with respect to the Hofer metric. This includes a dichotomy on the two-sphere: the Hofer norm either grows linearly or remains bounded in time by a universal constant. I will also touch on some connections to dynamics…

Dec
02
Date4:00 PM
Location
383N
Speaker
Viktor Ginzburg (UC Santa Cruz)

In this talk, based on a joint work with Erman Cineli and Basak Gurel, we discuss the multiplicity problem for prime closed orbits of dynamically convex Reeb flows on the boundary of a star-shaped domain. The first of our two main results asserts that such a flow has at least n prime closed Reeb…

Dec
02
Date2:30 PM
Location
384H
Speaker
Nicki Magill (UC Berkeley)

The ellipsoid embedding function generalizes symplectic ball packing problems. For a symplectic manifold, this function determines the minimum scaling factor required for a standard ellipsoid with a given eccentricity to embed symplectically into the manifold. If the function has infinitely many…

Oct
07
Date4:00 PM
Location
383N
Speaker
Ko Honda (UCLA)

Given a smooth closed n-manifold M and a k-tuple of basepoints in M, we define a Morse-type A∞-algebra called the based multiloop A∞-algebra and show the equivalence with the higher-dimensional Heegaard Floer A∞-algebra of k disjoint cotangent fibers of T*M.

Oct
07
Date2:30 PM
Location
384H
Speaker
Semon Rezchikov (Princeton)

Symplectic cohomology is a fundamental invariant of a symplectic manifold M with contact type boundary that is defined in terms of dynamical information and counts of pseudoholomorphic genus zero curves, and carries algebraic structures that parallel the algebraic structures on the Hochschild (…

May
06
Date4:00 PM
Location
@ Berkeley
Speaker
Kai Cieliebak (Augsburg University)

Abstract: Every Anosov flow on a closed oriented three-manifold gives rise to a four-dimensional

Liouville domain, whose Liouville homotopy class depends only on the homotopy class of the

Anosov flow. The goal of this talk is to explain this construction and discuss geometric…