Weekly Bulletin
The FIM provides a Newsletter called FIM Weekly Bulletin, which is a selection of the mathematics seminars and lectures taking place at ETH Zurich and at the University of Zurich. It is sent by e-mail every Tuesday during the semester, or can be accessed here on this website at any time.
Subscribe to the Weekly Bulletin
FIM Weekly Bulletin
×
Modal title
Modal content
Monday, 5 June | |||
---|---|---|---|
Time | Speaker | Title | Location |
10:00 - 12:00 |
Miguel Abreu Universidade de Lisboa |
Abstract
Toric contact manifolds provide an interesting class of contact manifolds. In this mini-course we will introduce them, show how the ones with zero first Chern class can be determined by certain integral convex polytopes, called toric diagrams, and how to directly read relevant contact invariants from these toric diagrams. Plenty of hands-on examples and some applications will be provided.
FIM MinicourseMore information: https://math.ethz.ch/fim/activities/minicourses.htmlcall_made Toric Contact Manifoldsread_more |
HG G 19.2 |
13:00 - 14:00 |
Prof. Dr. Haruya Mizutani Osaka University |
Abstract
The Strichartz estimate is one of fundamental tools in the
study of nonlinear dispersive equations. This talk deals with (global-
in-time) Strichartz estimates for Schrödinger equations with potentials
decaying at infinity. The case when the potential decays sufficiently
fast has been extensively studied in the last three decades. However,
it has remained mostly unknown for slowly decaying potentials in which
case the standard perturbation argument does not work. We instead
employ several techniques from long-range scattering theory and
microlocal/semiclassical analysis, and prove Strichartz estimates for a
class of positive potentials decaying arbitrarily slowly. A typical
example is the positive Coulomb potential in three space dimensions. As
an application, we also obtain a modified scattering type result for
the final state problem of the nonlinear Schrödinger equations with
long-range nonlinearity and potential. This is partly joint work with
Masaki Kawamoto (Ehime University).
GAuS SeminarStrichartz estimates for Schrödinger equations with long-range potentialsread_more |
Online via Zoom |
13:30 - 14:30 |
Dr. Thibault Lefeuvre Institut de Mathématiques de Jussieu-Paris Rive Gauche |
Abstract
The aim of this talk is to study the ergodicity of a class of partially hyperbolic flows constructed by taking unitary extensions to vector bundles of the geodesic flow over a closed negatively-curved manifold. We will show that, when the rank of the vector bundle is small compared to the dimension of the manifold, ergodicity can be completely characterized in geometric terms -- a certain connection admits no holonomy reduction. The proof combines classical hyperbolic dynamics, harmonic analysis, and, more surprisingly, real algebraic geometry (classification of polynomial maps between sphere). Joint work with Mihajlo Cekic.
Ergodic theory and dynamical systems seminarErgodicity of frame flows in low-rankread_more |
HG G 43 |
Tuesday, 6 June | |||
---|---|---|---|
— no events scheduled — |
Wednesday, 7 June | |||
---|---|---|---|
Time | Speaker | Title | Location |
10:00 - 12:00 |
Miguel Abreu Universidade de Lisboa |
Abstract
Toric contact manifolds provide an interesting class of contact manifolds. In this mini-course we will introduce them, show how the ones with zero first Chern class can be determined by certain integral convex polytopes, called toric diagrams, and how to directly read relevant contact invariants from these toric diagrams. Plenty of hands-on examples and some applications will be provided.
FIM MinicourseMore information: https://math.ethz.ch/fim/activities/minicourses.htmlcall_made Toric Contact Manifoldsread_more |
HG G 19.2 |
Thursday, 8 June | |||
---|---|---|---|
Time | Speaker | Title | Location |
15:15 - 16:15 |
Alexander Varchenko University of North Carolina, Chapel Hill |
Abstract
I will review the construction of polynomial solutions of KZ equations modulo an integer and the properties of the solutions, in particular, their p-adic limit.
Talks in Mathematical PhysicsPolynomial solutions of KZ equations modulo an integer read_more |
HG G 43 |
Friday, 9 June | |||
---|---|---|---|
Time | Speaker | Title | Location |
16:15 - 17:15 |
Elon Lindenstrauss The Hebrew University of Jerusalem |
HG E 5 |