Monday, November 25th, 2024
Special Lecture: Albert Schwarz
Time: 11:15 AM - 12:15 PM
Location: SCGP 313
Title: L-functionals and their applications (inclusive scattering matrix, infrared problem in QED, etc)
Speaker: Albert Schwarz
Abstract: In the case of infinite number of degrees of freedom there exist representations of CCR that are not equivalent to the standard Fock representation. L-functionals allow us to consider all representations of CCR simultaneously. The scattering matrix in the formalism of L-functionals is closely related to inclusive cross sections, we call it inclusive scattering matrix. I’ll talk mostly about application of L-functionals to QED, but they can be applied also in other situations ( for example in the study of quenched disorder and linearized gravity).
Title: L-functionals and their applications (inclusive scattering matrix, infrared problem in QED, etc)
Speaker: Albert Schwarz
Abstract: In the case of infinite number of degrees of freedom there exist representations of CCR that are not equivalent to the standard Fock representation. L-functionals allow us to consider all representations of CCR simultaneously. The scattering matrix in the formalism of L-functionals is closely related to inclusive cross sections, we call it inclusive scattering matrix. I’ll talk mostly about application of L-functionals to QED, but they can be applied also in other situations ( for example in the study of quenched disorder and linearized gravity).
Math Event: Symplectic Geometry, Gauge Theory, and Low-Dimensional Topology Seminar: Antonio Alfieri - Is the geography of Heegaard Floer homology restricted or is the L-space conjecture false?
Time: 12:30 PM - 1:55 PM
Location: Math P-131
Title: Is the geography of Heegaard Floer homology restricted or is the L-space conjecture false?
Speaker: Antonio Alfieri [Stony Brook University]
Abstract: In a recent note Francesco Lin showed that if a rational homology sphere Y admits a taut foliation then the Heegaard Floer module HF^-(Y) contains a copy of F[U]/U as a summand. This implies that either the L-space conjecture is false or that Heegaard Floer homology satisfies a geography restriction. In a recent paper in collaboration with Fraser Binns we verified that Lin's geography restriction holds for a wide class of rational homology spheres. I shall discuss our argument, and advance the hypothesis that the Heegaard Floer module HF^-(Y) may satisfy a stronger geography restriction than the one suggested by Lin’s theorem. View Details
Title: Is the geography of Heegaard Floer homology restricted or is the L-space conjecture false?
Speaker: Antonio Alfieri [Stony Brook University]
Abstract: In a recent note Francesco Lin showed that if a rational homology sphere Y admits a taut foliation then the Heegaard Floer module HF^-(Y) contains a copy of F[U]/U as a summand. This implies that either the L-space conjecture is false or that Heegaard Floer homology satisfies a geography restriction. In a recent paper in collaboration with Fraser Binns we verified that Lin's geography restriction holds for a wide class of rational homology spheres. I shall discuss our argument, and advance the hypothesis that the Heegaard Floer module HF^-(Y) may satisfy a stronger geography restriction than the one suggested by Lin’s theorem. View Details