Konferenzen  >  Mathematik  >  Geometrie und Topologie  >  Großbritannien

London Mathematical Society at Cardiff University

Information on the application process at the conference page, deadline 07.04.2024.

The field of geometric flows is a highly active research area located in the intersection of partial differential equations (PDE), differential geometry and convex geometry. The most prominent prototype equations are the mean curvature flow and the Ricci flow, the latter being the main key to the so far only solution of a Millennium problem listed by the Clay institute, the so-called Poincaré conjecture, which was solved by Perelman building upon ideas of Hamilton.

These geometric equations are fully nonlinear systems and the PDE theory required to rigorously understand their details is in the most cases much deeper than what is taught in undergraduate PDE courses. They comprise results from regularity theory for fully nonlinear (elliptic and parabolic) PDE, advanced results from functional analysis and operators on manifolds.

Contrary to what is usually covered in research schools on geometric flows, this school is supposed to focus on the PDE aspects of geometric flows, which is often considered as technical and therefore neglected. Our PDE expert lecturer Dr. Ben Lambert aims to make this material as accessible as possible and the theory will be accompanied by their application to the curvature flow equations, delivered by Prof. Alessandra Pluda. Additional guest lectures with further applications to geometry will be held by Prof. Mohammad N. Ivaki.

This research school is well-suited for research students roughly at PhD level and for early career researchers working in one or both of the fields of PDE and Differential Geometry. In particular, anyone working with PDE is encouraged to apply, even if their work is not related to geometric flows.

Email: scheuer@math.uni-frankfurt.de

Partial Differential Equations; Curvature flows

This conference will be centred on recent progress at the intersection of algebraic geometry and string theory. It will feature four introductory survey lectures by world-leading experts, as well as more advanced research talks. We also aim to provide ample opportunity of collaboration and discussion in a workshop-style setting, usually with no more than four hours of talks each day.

Teilchenphysik und Felder,    Mathematische Physik

Isaac Newton Institute for Mathematical Sciences

This workshop will focus on various aspects of the geometry of interacting random paths. The aim is to bring together researchers specialising in random processes such as branching random walks, activated random walks, random interlacements, and other models of interacting random walks, as well as their continuous time counterparts. The workshop will explore questions and results concerning the geometry of the ranges of these processes, and further properties of their occupation time fields, for instance, their associated “thick points”. It will include two-mini courses in addition to the programme of research talks.

The International Centre for Mathematical Sciences (ICMS)

Classifying varieties up to birational equivalence is one of the driving forces for modern research in algebraic geometry. Some of the greatest results in 20th and 21st Century algebraic geometry lie in birational geometry, with both Mori and Birkar awarded the Fields medal for their work in this area. Birational geometry has seen some very healthy and surprising interactions with number theory over the last decade.

Recent developments suggest that there is much to be gained at the interface between number theory and birational geometry, and this workshop will be one of the first attempts in the form of an international meeting to explore these interactions.

Isaac Newton Institute for Mathematical Sciences

Equivariant techniques have played a critical role in the proofs of several major results and developments in algebraic topology over the past decade. Examples include the solution of the famous Kervaire invariant one problem, computations of previously inaccessible homotopy groups of spheres based on the motivic Adams spectral sequence, and the new equivariant approach to THH, TC, and algebraic K- theory. The programme will unite experts and young researchers who apply homotopic methods in algebra (operads), algebraic topology, and algebraic geometry (motivic homotopy theory) around the common theme of equivariant methods. Though these methods have already led to significant breakthroughs, their potential is clearly far from exhausted. We foresee that this programme will incite further developments and greater synergies between equivariant homotopy theory and the themes of the programme centred around three workshops: "Operads and calculus", "Chromatic and motivic homotopy theory" and "THH, TC and algebraic K- theory".

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Isaac Newton Institute for Mathematical Sciences

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Isaac Newton Institute for Mathematical Sciences

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

Algebra,    Kurse und Veranstaltungen für Studenten der Mathematik