The summer school is dedicated to graduate students and young researchers, and aims to give an introduction to recent techniques and topics of additive combinatorics. The lectures of the summer school will concentrate on recent developments of the polynomial method, some combinatorial methods of additive combinatorics, and the introduction of Fourier analytic techniques connected to them. The main topics will be presented by top researchers of the area.

The lecturers will be Julia Wolf, Christian Elsholtz, Peter Pal Pach, Sean Prendiville.

This conference is devoted to the most recent results of Additive Combinatorics. The topic of the conference is aimed to emphasize the rich interactions between additive combinatorics, harmonic analysis and number theory. The conference will bring together some recognized experts of the field, junior researchers (postdoctoral fellows and graduate students), and senior researchers from various aspects of the main topic. Beside the discussion on the recent progress in the field, it is also aimed to initiate interaction and collaboration among the participants.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

This conference focuses on new and emerging connections between solvable lattice models and special functions on p-adic groups and covering groups, uses of quantum groups, Hecke algebras and other methods to study representations of p-adic groups and their covers, and advances in algebraic combinatorics and algebraic geometry.

Transfer systems are a new combinatorial object that exhibit surprising connections between abstract homotopy theory, equivariant topology, and combinatorics. About ten years ago, Blumberg and Hill defined the related "indexing systems'' as the central algebraic object controlling twisted multiplications that naturally arise in the study of equivariant cohomology theories. Rubin and Balchin--Barnes--Roitzheim independently recast this notion in a much simpler framework, characterizing indexing systems in terms of transfer systems, as a particular kind of weak subposet of the lattice of subgroups of a finite group G , ordered by inclusion. Work of Ormsby--Osorno and teams of collaborators has shown how the natural generalization of this notion to an arbitrary poset has fascinating combinatorial properties, and Balchin--MacBrough--Ormsby have further connected this to abstract homotopy theories on posets. Each of these connections provides exciting results which can be transferred and reinterpreted in the other fields, yielding unexpected new structure and theorems.

This MRC will introduce participants to this burgeoning new area, bringing together researchers with interests in combinatorics, algebraic topology, and abstract homotopy theory. The field is rife with open problems, including basic questions about the structure of transfer systems, combinatorics problems associated to counting transfer systems for natural families of posets, identifying connections with other combinatorial structures, and applying the language of model categories to recast and reform these questions.

One of the exciting features of the program is that there are few prerequisites. Familiarity with abstract homotopy theory or with modern methods of algebraic topology will allow deeper engagement with some of the potential problems, but is not required, and much of the subject can be approached purely combinatorially. Before the workshop, relevant readings will be provided to help provide background, and an online collaboration platform will be used to start discussing material and to begin building community. At the workshop, participants can expect to work in teams on research programs, to engage with lectures from senior faculty participants about aspects of homotopical combinatorics, and to have open feedback sessions for further discussion.

The primary focus of the workshop is supporting early-career researchers, including advanced graduate students, postdocs, and pre-tenure faculty. As such, there will also be professional development sessions, the topics of which will be driven by participant interest and need. We especially encourage members of traditionally excluded groups to apply.

Applications will be accepted on MathPrograms.org through Thursday, February 15, 2024 (11:59 p.m. EST).

The first Discrete Geometry Days were held in the summer of 2016. This was followed up by DGD2 in the summer of 2019. Now we are organizing DGD3.

Dates: July 2-5, 2023 Venue: Math. Inst. of the Budapest Univ. of Tech. and Economics Egry József u. 1., Budapest https://goo.gl/maps/JxCbtWaGpqT2 Building H, Room 607 (6th floor)

The conference is to serve as a meeting point for people working in areas of geometry that are relatively close to each other. Topics to be included are packing and covering questions, Helly-type problems, topological methods in geometry, rigidity, finite dimensional normed spaces, and other areas of Discrete, Combinatorial and Convex Geometry of interest to the participants.

Organizers:

Zsolt Lángi Márton Naszódi Konrad Swanepoel

Invited speakers (so far):

Károly Bezdek (University of Calgary / University of Pannonia), Máté Matolcsi (Rényi Institute, Budapest), Eugenia Saorín Gómez (Uni Bremen), Louis Theran (University of St Andrews), Bernardo Gonzalez Merino (University of Murcia), Susanna Dann (Universidad de los Andes), Attila Pór (Western Kentucky University), Grigory Ivanov (IST Austria)

In 2024, Péter Frankl, Zoltán Füredi, Ervin Győri and János Pach will turn 70. On the occasion of this joyful event, we organize a conference Sum(m)it280. We would like to invite you to celebrate these four Hungarian combinatorialists with us.

The follow-up to the 2015, 2017, 2019 and 2022 Students' Conference on Tropical and Non-Archimedean Geometry, will take place in Regensburg from July 22, 2024 to July 26, 2024. The goal of the conference is to gather mainly PhD students and young post-docs in tropical, Arakelov or non-archimedean geometry in a friendly setting and foster new collaborations.

The conference will begin with three introductory lectures on tropical, Arakelov and non-archimedean geometry respectively, aimed in particular at new PhD students. Those will then be followed by more traditional research talks. We also encourage participants to apply for giving a talk.

The purpose of the Annual International Conference of the Georgian Mathematical Union is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields. Sections: • Algebra and Number Theory • Differential and Integral Equations, and Their Applications • Geometry and Topology • Logic, Language, Artificial Intelligence • Mathematical Education and History • Mathematical Logic and Discrete Mathematics • Mathematical Modeling and Numerical Analysis • Mathematical Physics • Probability Theory and Statistics, Financial Mathematics • Real and Complex Analysis

This Thematic Month aims to cover topics related to singularity theory of algebraic or analytic spaces, algebraic study of differential equations, and their applications to questions of transcendence. This 5-week program covers different themes that are often not closely related. One of the main objectives is to make them interact. To encourage participants (especially the youngest ones) to attend the entire month and foster interactions outside each one’s expertise zone, the scientific program of each week of the month will consist of courses accessible to non-experts, as well as more specialized presentations. This month will consist of five successive weeks: – Logarithmic and non-archimedean methods in Singularity Theory. The first week will focus on recent results based on methods in logarithmic geometry and non-archimedean geometry in singularity theory. – Foliations, birational geometry and applications. The second week will cover topics in birational geometry, including singularity resolution, MMP (Minimal Model Program), algebraic foliation theory, and local holomorphic dynamics. – Tame Geometry. The third week will address tame geometry in various forms: o-minimality, transseries, Hardy fields, non-archimedean analogs of tame geometry, and their applications to number theory. – Galois differential Theories and transcendence. The fourth week is devoted to differential Galois theory and its applications to questions of functional transcendence and number theory, as well as the study of periods and E and G-functions. – Enumerative combinatorics and effective aspects of differential equations. The last week is dedicated to enumerative combinatorics and certain effective aspects of differential equations, especially applications in enumerative combinatorics of techniques presented in the previous week, or as effective results on topics covered in the preceding weeks.