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Monday, 9 October | |||
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Time | Speaker | Title | Location |
15:00 - 16:00 | Nihar Gargava EPFL |
Y27H 25 |
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15:00 - 16:30 | Dr. Yalong Cao RIKEN (Japan) |
Abstract
Quivers with potentials are fundamental objects in geometric representation theory and important also in Donaldson-Thomas theory of Calabi-Yau 3-categories. In this talk, we will introduce quantum corrections to such objects by counting quasimaps from curves to the critical locus of the potential. Our construction is based on the theory of gauged linear sigma model (GLSM) and uses recent development of DT theory of CY 4-folds. Joint work with Gufang Zhao.
Algebraic Geometry and Moduli Seminar
Quasimaps to quivers with potentialsread_more |
ITS |
15:15 - 16:10 | Fabian Ziltener ETH |
HG G 43 |
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16:25 - 17:20 | Valentin Bosshard ETH |
Abstract
Lagrangian cobordisms induce exact triangles in the Fukaya category. But how many exact triangles can be recovered by Lagrangian cobordisms? One way to measure this is by comparing the Lagrangian cobordism group to the Grothendieck group of the Fukaya category. In this talk, we discuss the setting of exact conical Lagrangian submanifolds in Liouville manifolds and compute Lagrangian cobordism groups of Weinstein manifolds. As an application, we get a geometric interpretation for Viterbo restriction for Lagrangian cobordism groups.
Symplectic Geometry Seminar
The Lagrangian cobordism group of Weinstein manifoldsread_more |
HG G 43 |
Tuesday, 10 October | |||
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Time | Speaker | Title | Location |
10:30 - 12:00 | Xenia Flamm Examiner: Prof. Dr. Marc Burger |
HG D 16.2 |
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15:15 - 16:15 | Dr. Mitchell Taylor University of California, Berkeley |
HG G 43 |
Wednesday, 11 October | |||
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Time | Speaker | Title | Location |
13:30 - 15:00 | Dr. Johannes Schmitt ETH Zürich |
HG G 43 |
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16:30 - 17:30 | Dr. Théophile Chaumont-Frelet Inria |
Abstract
Time-harmonic Maxwell's equations model the propagation of electromagnetic waves, and their numerical discretization by finite elements is instrumental in a large array of applications. In the simpler setting of acoustic waves, it is known that (i) the Galerkin Lagrange finite element approximation to a Helmholtz problem becomes asymptotically optimal as the mesh is refined. Similarly, (ii) asymptotically constant-free a posteriori error estimates are available for Helmholtz problems. In this talk, considering Nédélec finite element discretizations of time-harmonic Maxwell's equations, I will show that (i) still holds true and propose an a posteriori error estimator providing (ii). Both results appear to be novel contributions to the existing literature.
Zurich Colloquium in Applied and Computational Mathematics
Asymptotically optimal a priori and a posteriori error estimates for edge finite element discretizations of time-harmonic Maxwell's equationsread_more |
HG E 1.2 |
17:15 - 18:45 | Prof. Dr. Aleksandar Mijatovic University of Warwick |
Abstract
In this talk we quantify the asymptotic behaviour of multidimensional drifltess diffusions in domains unbounded in a single direction, with asymptotically normal reflections from the boundary. We identify the critical growth/contraction rates of the domain that separate stability, null recurrence and transience. In the stable case we prove existence and uniqueness of the invariant distribution and establish the polynomial rate of decay of its tail. We also establish matching polynomial upper and lower bounds on the rate of convergence to stationarity in total variation. All exponents are explicit in the model parameters that determine the asymptotics of the growth rate of the domain, the interior covariance, and the reflection vector field. Proofs are probabilistic, and use upper and lower tail bounds for additive functionals up to return times to compact sets, for which we develop novel sub/supermartingale criteria, applicable to general continuous semimartingales. Time permitting, I will discuss the main ideas behind the proofs in the talk. This is joint work with Miha Bresar (Warwick) and Andrew Wade (Durham).
Seminar on Stochastic Processes
Brownian motion with asymptotically normal reflection in unbounded domains: from transience to stabilityread_more |
Y27H12 |
Thursday, 12 October | |||
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Time | Speaker | Title | Location |
15:15 - 16:00 | Paula Truöl |
HG G 19.1 Max-Planck-Institut Bonn |
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17:15 - 18:15 | 本杰明博士教授若丹call_made CERMICS |
Abstract
We consider driftless one-dimensional stochastic differential equations. We first recall how they propagate convexity at the level of single marginals. We show that some spatial convexity of the diffusion coefficient is needed to obtain more general convexity propagation and obtain functional convexity propagation under a slight reinforcement of this necessary condition. Such conditions are not needed for directional convexity.
Talks in Financial and Insurance Mathematics
Convexity propagation and convex ordering of one-dimensional stochastic differential equationsread_more |
HG G 43 |
Friday, 13 October | |||
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Time | Speaker | Title | Location |
14:15 - 15:15 | Prof. Dr. William Duke UCLA |
HG G 43 |
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16:00 - 17:30 | Dr. Fatemeh Rezaee Cambridge and ETHZ |
HG G 43 |