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5月16日星期一
时间 扬声器 标题 Location
12:15-13:00 凯文张
苏黎世Eth
Abstract
数学金融旨在使用概率理论和随机分析的工具来对金融市场进行建模。本演讲旨在提供一些基本的直觉,并简要介绍该领域。我们将讨论基本概念,例如布朗运动和随机积分。然后,我们将考虑一些重要的结果,例如黑色choles模型,以及我们的模型也可以应用于涉及道德危害的主要代理问题。

更多信息: https://zucmap.ethz.ch
ZUCMAP
从数学金融到道德危害
HGG 3
14:05-15:05 Dr. Cheng Zheng
Jiao Tong University
Abstract
二苯胺近似公制理论中的Khintchine定理说,R> 1型的二芬太汀数量的子集具有完整的Lebesgue度量。Jarník-Besicovitch定理进一步指出,其补体具有Hausdorff尺寸2/(1 + R)。关于Jarník-Besicovitch定理的动态观点是Hill和Velani提出的目标问题。在这次演讲中,我们将讨论我们的工作,以了解等级一个均匀空间中的目标问题,以及在海森伯格群体上的二维甘坦近似公制理论中jarník-besicovitch定理的结果。如果时间允许,我们还将讨论我们的工作与稀疏等分分配问题之间的联系。Zoom链接:https://ethz.zoom.us/j/65329488712
Ergodic Theory and Dynamical Systems Seminar
A shrinking target problem in rank one homogeneous spaces
HGG 43
15:00-16:30 Prof. Dr. Rasmus Kyng
dep。计算机科学,苏黎世
Abstract
我们给出一个算法,计算精确的最大flows and minimum-cost flows on directed graphs with m edges and polynomially bounded integral demands, costs, and capacities in m1+o(1) time. Our algorithm builds the flow through a sequence of m1+o(1) approximate undirected minimum-ratio cycles, each of which is computed and processed in amortized mo(1) time using a new dynamic graph data structure. Our framework extends to algorithms running in m1+o(1) time for computing flows that minimize general edge-separable convex functions to high accuracy. This gives almost-linear time algorithms for several problems including entropy-regularized optimal transport, matrix scaling, p-norm flows, and p-norm isotonic regression on arbitrary directed acyclic graphs.
优化研讨会
Maximum Flow and Minimum-Cost Flow in Almost-Linear Time
HGG 19.2
Tuesday, 17 May
时间 扬声器 标题 Location
15:15 - 16:15 Fabiana Leoni博士
University of La Sapienza di Roma
Abstract
Analysis Seminar
New concentrations phenomena for radial solutions of fully nonlinear equations
HGG 43
(Streaming)
16:30 - 17:30 Lorenzo Micalizzi
苏黎世大学
Abstract
演讲是对双曲线PDE的结构保存的非常友好的介绍。在许多不同领域(例如工程,社会科学,物理学,化学或生物学)中,在许多不同领域的大量现象的建模中出现了双曲线问题。我们将讨论如何构建数值方法以近似于此类PDE系统的解决方案以及即使在非常简单的情况下也会出现的主要困难,即在这种情况下基础物理的核心作用,以及我们如何构建保留某些方案的好方案相关的物理特性。
苏黎世毕业生座谈会
什么是...结构保存?
KO2F 150
18:15-19:15 Prof. Dr. David Bresch
The Weather and Climate Risk Group, D-USYS, ETH Zurich
Abstract
Verleihung“ Walter Saxer-versicherungs-Hochschulpreis”
谈话:“塑造气候弹性发展”
HGE 5
5月18日,星期三
时间 扬声器 标题 Location
13:30 - 15:30 Yasha Eliashberg
斯坦福大学,ETH-ITS
CLVB 4
它的建筑物Claussiusstrasse
16:30 - 17:30 杰罗姆·韦特斯坦
审查员:弗朗西斯卡·达·利博士教授
Abstract
Doctoral Exam
CRITICAL LOCAL AND NONLOCAL PDES AND IMPROVED REGULARITY RESULTS
HGD 22
17:15-18:15 Prof. Dr. Pierre-François Rodriguez
Imperial College
Abstract
The discrete Gaussian model is the Gaussian free field conditioned to be integer-valued. As shown rigorously in celebrated work of Fröhlich and Spencer, the conditioning causes a Berezinskii-Kosterlitz-Thouless type phase transition in two dimensions: the interface exhibits a localized low-temperature and a delocalized (rough) high-temperature phase. I will report on recent work with R. Bauerschmidt and J. Park identifying the macroscopic scaling limit of this field in the rough phase, at sufficiently high temperature.
随机过程研讨会
高温下二维离散高斯模型的缩放限
Y27H12
Thursday, 19 May
时间 扬声器 标题 Location
15:15 - 16:15 Simone Noja
Ruprecht-Karls-Universität Heidelberg
Abstract
Integral forms are characteristic supergeometric objects that allow to define a meaningful notion of integration on supermanifolds. In this talk I will introduce a double complex of non-commutative sheaves which related integral forms to the more customary notion of differential forms. I will then discuss how this framework specializes to the so-called cotangent bundle supermanifolds, which are relevant to odd symplectic geometry and BV theory. If time permits, I will explain how the geometry of forms is related to the problem of splitting a complex supermanifold in this particular setting.
数学物理的谈话
The de Rham / Spencer double complex and the geometry of forms on supermanifolds
HGG 43
16:15-17:15 安娜·博特(Anna Bot)
巴塞尔大学
Abstract
Birational geometry, which is the study of birational maps of algebraic varieties, lends itself to be studied in the context of dynamics. We will focus on projective surfaces – and in particular the projective plane – and introduce the bubble space with which we can define the Picard-Manin space and the hyperbolic space associated to the surface. Within this framework, we can then discuss the dynamical degree of a birational map of $\mathbb{P}^2$.
几何学毕业生座谈会
Dynamics in birational geometry
HGE 22
现场直播
17:15-18:15 Prof. Dr. Sergey Nadtochiy
伊利诺伊理工学院
Abstract
这次演讲涉及解决Stefan自由体PDE(又称Laplacian生长模型)的概率方法。后一个方程出现在许多基本物理和生物学过程的模型中,例如:相变(即熔化/冷冻),相分离(例如合金的衰老),晶体生长,神经元相互作用等。迄今为止,由于其解决方案的潜在奇异性,还没有一般存在和独特理论,这使得很难应用经典的分析方法。最近,基于对相关平均场粒子系统和McKean-Vlasov方程的分析的新型概率方法,已成功地用于应对这些数学挑战,从而为某些类型的Stefan方程提供了新的适应性结果。我将概述最近的结果,并将重点放在Stefan方程及其表面张力的良好性上。这次演讲基于与F. Delarue,M。Shkolnikov和X. Zhang的联合作品。
金融和保险数学的谈判
Stefan方程的概率解决方案
HGG 43
5月20日,星期五
时间 扬声器 标题 Location
10:00-11:00 Matteo Gambara
Examiner: Prof. Dr. Josef Teichmann
Abstract
Doctoral Exam
Two perspectives on consistent modelling of option markets
HGG 19.1
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