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1
EMGW03 — Singularity theory and hyperbolicity
18 Mar 2024 - 22 Mar 2024 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences (INI)
Abstract:
The workshop focuses on recent equivariant techniques in enumerative geometry of holomorphic maps between complex manifolds. It will bring together researchers working on global singularity theory (multisingularity classes of holomorphic maps, Thom polynomials, multiple-point formulas), and on complex manifolds with positivity properties (hyperbolicity, ample cotangent bundle, jet differentials). The mini-courses aim to explain the central role of the Hilbert scheme of points on complex manifolds in these problems.
Event listing ID:
1546443
Related subject(s):
2
EMGW04 — K-stability and moment maps
13 May 2024 - 17 May 2024 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences (INI)
Abstract:
The goal of this conference is to bring together researchers in complex algebraic and differential geometry, working on notions of stability for algebraic varieties such as K-stability (and in particular the construction of moduli spaces of algebraic varieties), the existence of canonical metrics in Kähler geometry and the many nearby topics that interact with these areas. The relationship between K-stability and the existence of canonical Kähler metrics goes by the name of the Yau-Tian-Donaldson conjecture, and is motivated by a more classical correspondence between stability in the sense of geometric invariant theory and properties of moment maps as used in symplectic geometry—two of the overarching themes of the wider programme. This conference will emphasise the deep links between Kähler geometry, stability conditions and various related problems in equivariant algebraic and differential geometry.
Event listing ID:
1546455
Related subject(s):
3
EMGW05 — Moduli stacks and enumerative geometry
17 Jun 2024 - 21 Jun 2024 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences (INI)
Abstract:
The workshop focuses on the role of equivariant techniques in enumerative geometry and moduli stacks. It will bring together researchers working on the relationship between concepts of stability and wall-crossing in different settings such as moduli stacks, geometric invariant theory, Bridgeland stability and K-stability, as well as enumerative geometers studying the geometry and topology of Hilbert schemes of points on surfaces and higher dimensional manifolds and related invariants.
Event listing ID:
1546391
Related subject(s):
4
Workshop EMGW05 — Moduli stacks and enumerative geometry
17 Jul 2024 - 21 Jul 2024 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Abstract:
The workshop focuses on the role of equivariant techniques in enumerative geometry and moduli stacks. It will bring together researchers working on the relationship between concepts of stability and wall-crossing in different settings such as moduli stacks, geometric invariant theory, Bridgeland stability and K-stability, as well as enumerative geometers studying the geometry and topology of Hilbert schemes of points on surfaces and higher dimensional manifolds and related invariants.
Event listing ID:
1577966
5
Bridging PDE and Geometric Flows - An LMS-HIMR Research School
22 Jul 2024 - 26 Jul 2024 • Cardiff, United Kingdom
Organizer:
London Mathematical Society at Cardiff University
Abstract:
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.

Contact:
Email: scheuer@math.uni-frankfurt.de
Topics:
Partial Differential Equations; Curvature flows
Event listing ID:
1610923
Related subject(s):
6
Workshop SSDW03 — Geometry, occupation fields, and scaling limits
28 Oct 2024 - 01 Nov 2024 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Abstract:
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.
Event listing ID:
1577943
Related subject(s):
7
Introductory Workshop EHTW01 — Equivariant homotopy theory in context
13 Jan 2025 - 17 Jan 2025 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Topics:
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".
Event listing ID:
1577936
8
Workshop EHTW02 — Operads and calculus
07 Apr 2025 - 11 Apr 2025 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Event listing ID:
1577959
9
Workshop EHTW03 — New horizons for equivariance in homotopy theory
12 May 2025 - 16 May 2025 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Event listing ID:
1577861
10
Workshop EHTW04 — Beyond the telescope conjecture
16 Jun 2025 - 20 Jun 2025 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Topics:
Equivariant homotopy theory in context
Event listing ID:
1577895


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Last updated: 8 March 2024