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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:
1546465
Related subject(s):
2
Gauge Fields in Arithmetic, Topology and Physics
15 Apr 2024 - 19 Apr 2024 • ICMS, Bayes Centre, Edinburgh, United Kingdom
Organizer:
ICMS - International Centre for Mathematical Sciences
Abstract:
As first observed by Mazur and Mumford, there exists a deep analogy between 3-manifolds and number fields. In the 90s, Morishita expanded upon and delved deeper into these connections between low-dimensional topology and number fields. More recently, Minhyong Kim proposed that, in line with the aforementioned analogy, one should develop “arithmetic field theories” for number fields. Kim’s proposal invigorated interest in this area of study, leading to a plethora of new research directions. Examples include the work of Kim and collaborators, as well as connections to the Langlands program explored by Ben-Zvi—Sakellaridis—Venkatesh. The once-unexpected comparison between 3-manifolds and number fields is now proving fruitful, and it promises to illuminate number theory, potentially leading to significant breakthroughs. This workshop will bring together experts and young researchers to further explore a field that is still largely unexplored. While the analogies are striking, we believe that the field has not yet seen its full potential. One of the goals of the workshop is to find new problems which can be attacked with ideas stemming from the analogy between number fields and 3-manifolds.
Event listing ID:
1593217
3
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:
1546411
Related subject(s):
4
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:
1546413
Related subject(s):
5
Recent progress on Hilbert’s 12th problem
24 Jun 2024 - 28 Jun 2024 • ICMS, Bayes Centre, Edinburgh, United Kingdom
Organizer:
The International Centre for Mathematical Sciences (ICMS)
Abstract:
Hilbert’s twelfth problem asks for explicit constructions of the abelian extensions of a given number field, similar to what is known for the rational numbers and for imaginary quadratic fields. The workshop will focus on the breakthroughs in [DKa] and [DKb], with a lecture series by the two authors forming the cornerstone of the activity.
Event listing ID:
1538959
6
p-adic Families of Automorphic Forms: Theories and Applications
08 Jul 2024 - 12 Jul 2024 • Edinburgh, United Kingdom
Organizer:
ICMS, Bayes Centre, Edinburgh
Abstract:
The idea of p-adic families of automorphic forms grew out of work of Serre and Swinnerton-Dyer in the 70s exploring congruences between the q-expansion coefficients of modular forms. Work of Hida, Coleman and Mazur made the investigation of p-adic families one of the central topics in the arithmetic of modular forms. In the following decades there were striking applications to the construction of p-adic L-functions, Iwasawa theory and modularity of Galois representations. One powerful organising principle has been to parametrize p-adic modular forms (or, more generally, p-adic automorphic forms) by p-adic analytic spaces known as eigenvarieties (or eigencurves, in the one-dimensional case originally considered by Coleman and Mazur). Our understanding of the geometry of eigenvarieties and their relationship to moduli spaces of Galois representations has rapidly developed, but there are still many important open questions. An overarching objective of this meeting will be to bring together people working on the different theories of p-adic automorphic forms and various applications (or potential applications). We hope that this will inspire new collaborations and insights.
Event listing ID:
1587552
7
Groups & Representations: after Roger Carter
04 Sep 2024 - 06 Sep 2024 • Coventry, United Kingdom
Organizer:
University of Warwick, Mathematics Institute
Abstract:
Roger William Carter was a towering figure in Mathematics for over 40 years. He would be 90 in August of 2024. This memorial conference will celebrate Roger's life and scientific endeavours by bringing together a diverse group of mathematicians who knew him personally or were affected by his scientific craft.
Contact:
Email: MRC@warwick.ac.uk
Event listing ID:
1594636
Related subject(s):
8
Spectral theory workshop
09 Sep 2024 - 12 Sep 2024 • Edinburgh , United Kingdom
Abstract:
The UK Spectral Theory Network aims to strengthen the research interaction among people working in spectral theory and adjoining fields in the UK. It offers Early Career Researchers, PhD students and members of the network an effective platform for exploring connections between the multifaceted strands of the subject, exchanging ideas and developing new collaborations. It promotes equality, diversity and inclusion in mathematics, and inspires future generations of researchers in the field.
Event listing ID:
1577254
Related subject(s):
9
Workshop QIAW02 — New trends at the intersection of quantum information theory, quantum groups and operator algebras
02 Dec 2024 - 06 Dec 2024 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Abstract:
Over the past few years, several remarkable links between quantum information, quantum groups, and operator algebras have been discovered. This includes in particular the study of non-local games, quantum automorphism groups, and the resolution of Connes’ Embedding problem announced by Ji, Natarajan, Vidick, Wright and Yuen in 2020. The focus of this workshop is the state of the art in this highly active area, covering the latest developments and potential future directions.
Event listing ID:
1577979
10
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:
1577870
11
Workshop EHTW02 — Operads and calculus
07 Apr 2025 - 11 Apr 2025 • Cambridge , United Kingdom
Organizer:
Isaac Newton Institute for Mathematical Sciences
Event listing ID:
1577882
12
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:
1577883
13
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:
1577862


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Last updated: 10 December 2023