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Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

KIAS Seminar

This talk is part of a lecture series on spectral invariants and their applications in symplectic geometry and topology. In this lecture, we begin the discussion of (Calabi) quasi-morphisms, in particular the one defined by Entov-Polterovich using spectral invariants in its construction, and discuss their importance in symplectic topology.

KIAS Seminar

In these series of talks, I'll speak about the A-infinity algebra of Lagrangian submanifolds and the deformation theory related to it.

KIAS Seminar

TBA

KIAS Seminar

In the talk, we will introduce an abelian modular symbol, which is a cohomology class with compact support of a punctured cylinder. After defining a p-adic measure associated to the abelian modular symbols, we show a result about the \mu-invariant of p-adic Mellin transform of the measure, which is an analogue of Sinnott's result. As a corollary, we obtain a new proof of the Ferrero-Washington's theorem

KIAS Seminar

This talk is part of a lecture series on spectral invariants and their applications in symplectic geometry and topology. So far we have reviewed the basic ingredients in the theory (Hamiltonian Floer homology, quantum (co)homology, their chain level representations, and isomorphisms between the homologies), gave an introduction to the spectral invariants (construction and properties), and discussed the spectral norm of Hamiltonian diffeomorphisms. In this lecture, we first prove the estimate of the action level change previously used in the proofs of some of the properties of spectral invariants, and look at the asymptotic behavior of solutions to the perturbed Cauchy-Riemann equations. Postponing the introduction of (Calabi) quasi-morphisms to the next lecture, we compute some examples of spectral invariants, and also discuss the dependence on and continuity properties of the spectral invariants with respect to the Hamiltonian, the nonzero quantum cohomology class, and the underlying symplectic structure.

KIAS Seminar

In these series of talks, I'll speak about the A-infinity algebra of Lagrangian submanifolds and the deformation theory related to it.

KIAS Seminar

KIAS Seminar

TBA

KIAS Seminar

This talk is part of a lecture series on spectral invariants and their applications in symplectic geometry and topology. So far we have reviewed the basic ingredients in the theory (Hamiltonian Floer homology, quantum (co)homology, their chain level representations, and isomorphisms between the homologies), and gave an introduction to the spectral invariants (construction and properties). In this talk, we will consider the spectral norm of Hamiltonian diffeomorphisms (defined using spectral invariants) and talk about the geometry of the Hamiltonian diffeomorphism group, and then prove the estimate of the action level change previously used in the proofs of some of the properties of spectral invariants. In this lecture or the next, we also introduce (Calabi) quasi-morphisms, in particular the one defined by Entov-Polterovich using spectral invariants in its construction, and discuss their importance in symplectic topology.

KIAS Seminar

In these series of talks, I'll speak about the A-infinity algebra of Lagrangian submanifolds and the deformation theory related to it.

KIAS Seminar

KIAS Seminar

KIAS Seminar

We prove that a moduli space of stable sheaves on a smooth quadric surface with certain numeric invariants, is isomorphic to P_3. Using this identification, we give a different proof that a certain Brill-Noether locus over a non-hyperelliptic curve of genus 4 is 'Donagi-Izadi cubic threefold'.

KIAS Seminar

The endomorphism algebra of an abelian variety (or motive) attached to a cuspidal eigenform of eight (at least) 2 has the structure of a crossed product algebra. In particular it is a central simple algebra over a subfield of the Hecke field. Ribet has asked for its Brauer class. We show that at primes of good reduction the Brauer class is essentially determined by the parity of the slopes of the adjoint lift of the given form. We shall also outline some partial results and open questions at primes of bad reduction.

KIAS Seminar

KAIST 수리과학과 세미나
  • Title : Structured Products
  • Speaker : Harry Zheng 교수
  • Data : 2009-02-13 14:00:00
  • Host :
  • Place :

KAIST 수리과학과 세미나

KAIST 수리과학과 세미나

ASARC 정기세미나

We define multiplie ideal sheaves for divisors and review some properties of them. As applications, we present a vanishing thereom generalizing Kodaira' theorem and some examples related to sigularities of projective hypersurfaces.

ASARC 정기세미나

We define multiplie ideal sheaves for divisors and review some properties of them. As applications, we present a vanishing thereom generalizing Kodaira' theorem and some examples related to sigularities of projective hypersurfaces.