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1
Trimester Program — Prospects of formal mathematics
06 May 2024 - 16 Aug 2024 • Bonn, Germany
Organizer:
Hausdorff Research Institute for Mathematics (HIM)
Abstract:
The goal of this program is to bring together experts of Formal Mathematics, exploit their interactions, foster future collaborations, and interface them better with the mathematical mainstream. At the same time the goal is to provide a platform for junior researchers to enter Formal Mathematics. A central, unifying theme is to break down adoption barriers of formal methods in Mathematics.
Event listing ID:
1585624
2
Hausdorff School — “Uniformity and Stability of Oscillatory Integrals”
08 Jul 2024 - 12 Jul 2024 • Bonn, Germany
Organizer:
Hausdorff Research Institute for Mathematics (HIM)
Abstract:
Because of the ubiquity of Fourier analysis, oscillatory integrals are present in many techniques in both harmonic analysis and analytic number theory. Current state-of-the-art methods in both fields are pushing beyond classical methods because of increased importance of understanding the uniformity and stability of the estimates. In addition, researchers are uncovering unifying ideas that span the (traditionally somewhat separated areas) of oscillatory integrals in the setting of analysis, and character sums in number theory. Recent work on estimating oscillatory integrals have even applied model theory, from logic. This summer school will give participants an introduction on the classical methods for estimating oscillatory integrals and explain current cutting-edge developments. Throughout, the lectures will view these problems through a lens of understanding the uniformity and stability of the estimates.
Event listing ID:
1558429
3
Hausdorff School — “Maximal Operators and Their Applications"
15 Jul 2024 - 19 Jul 2024 • Bonn, Germany
Organizer:
Hausdorff Research Institute for Mathematics (HIM)
Abstract:
This summer school will give participants an introduction to contemporary methods for studying maximal operators, with a particular focus on using maximal operators as a tool to understand other phenomena in analysis.
Event listing ID:
1558342
Related subject(s):
4
Workshop: Libraries of Digital Math
29 Jul 2024 - 02 Aug 2024 • Bonn, Germany
Organizer:
Hausdorff Research Institute for Mathematics (HIM)
Event listing ID:
1558310
5
Algebraic Number Theory - A workshop for young researchers
02 Sep 2024 - 06 Sep 2024 • Universität der Bundeswehr München, Munich, Germany
Abstract:
The workshop is primarily aimed at researchers on the doctoral and early postdoctoral level. Besides the mini-courses and research talks of the speakers listed below, we will offer selected participants the opportunity to present their own work.
Event listing ID:
1613997
Related subject(s):
6
Hausdorff School — “Recent developments in disordered systems""
09 Sep 2024 - 13 Sep 2024 • Bonn, Germany
Organizer:
Hausdorff Research Institute for Mathematics (HIM)
Abstract:
Disordered systems emerge from physical models by incorporating additional random effects. They also appear as models for complex systems in various contexts, such as computer science or biology. Understanding these models rigorously has been a great challenge for several decades, but the mathematical research in disordered systems and related fields has seen tremendous progress in recent years and benefits from a fruitful interplay of techniques from probability theory, mathematical analysis, combinatorics and mathematical physics. The aim of the school is to present to PhD students and young researchers some of the most fascinating developments in disordered systems and related fields in recent years.
Event listing ID:
1583982
7
Trimester Program — Boolean Analysis in Computer Science
09 Sep 2024 - 18 Dec 2024 • Bonn, Germany
Organizer:
Hausdorff Research Institute for Mathematics (HIM)
Abstract:
The trimester program aims to bring together experts, postdocs, and students in computer science and certain areas in mathematics (analysis, probability, and combinatorics) in order to learn about some challenging open problems recently raised in computer science, to use and invent necessary new tools and techniques in mathematics to solve these challenging problems, and vice versa to learn and further extend methods developed in computer science to develop new directions in mathematics motivated by questions in computer science. The core topics of the trimester program would be: learning theory, complexity of classical and quantum algorithms, vector valued functions on the hypercube, complex Hypercontractivity, polynomial inequalities on the hypercube, and discrete approximation theory on the hamming cube.
Event listing ID:
1584038
8
School — PAC (probably approximately correct) learning and Boolean Harmonic Analysis
16 Sep 2024 - 20 Sep 2024 • Bonn, Germany
Organizer:
The Hausdorff Research Institute for Mathematics (HIM)
Abstract:
The interaction between learning theory and harmonic analysis was emphasized by mathematics of quantum computing. One of the outstanding open problems in this area concerns the sharp estimates in Bohnenblust-Hille inequality that generalizes a celebrated Littlewood’s lemma. How to learn (with small error and with large probability) a complicated function or a very large matrix in a relatively small number of random (quantum) queries? Of course, there should be some Fourier type restrictions on a function (a matrix) to have a reasonable answer to this. The “classical” way of learning (Boolean) functions comes from very sophisticated extensions of theorems of Kahn—Kalai—Linial type. In those results the interplay between maximal influence and heavy Fourier tails is the main technique. Maximal influence should be large if the `tail’ is small. However, recently another approach that is hinged on Bohnenblust—Hille inequality appeared. The school will cover the classical maximal influence approach to `probably approximately correct' (PAC) learning as well as the recent achievements using Bohnenblust—Hille inequality and its quantum counterpart.
Event listing ID:
1623267
9
annual retreat — Windberg Junior SFB Meeting
01 Oct 2024 - 05 Oct 2024 • Windberg, Germany
Organizer:
SFB 1085 Higher Invariants at the Faculty of Mathematics at the Universität Regensburg
Event listing ID:
1577863
Related subject(s):


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Last updated: 10 June 2024