“Six functors formalism and Motivic homotopy theory”

Milano, September 20-24, 2021 Department of Mathematics “F. Enriques”, University of Milano, Milan, Italy.

Sponsored by the University of Milan and the Research Council of Norway within the project “Equations in motivic homotopy”.

The school will include three-mini courses for PhD students and young postdocs:

Minicourses:

• Alberto Canonaco (Pavia)
• Frédéric Déglise (ENS Lyon)
• Martin Gallauer (Oxford)

In addition to research talks by

• Mattia Cavicchi (Strasbourg)
• Alberto Merici (Zurich)
• Mattia Ornaghi (Be'er Sheva)
• Sabrina Pauli (Duisburg-Essen)
• Charanya Ravi (Regensburg)
• Timo Richarz (Darmstadt)
• Florian Strunk (Regensburg)

Funding for participants is available. Deadline for financial support is July 10th, 2021.

The forthcoming Conference “Cyclic Cohomology at 40: achievements and future prospects” will take place online at The Fields Institute, from September 27 to October 1st 2021:

Registration instructions are here:

http://www.fields.utoronto.ca/activities/21-22/cyclic-cohomology

In recent years, motivic techniques have been applied in several branches of representation theory, for example in geometric and modular representation theory. The goal of this workshop is to bring together researchers in these areas in order to foster new synergies in topics such as foundational aspects of the theory of motives, Tate motives on varieties of representation-theoretic origin, motivic aspects of the Langlands program, and motives of classifying spaces.

The scientific focus of this workshop will be on Riemannian manifolds endowed with special geometric structures, such as almost hermitian manifolds, contact metric manifolds, G2 and Spin(7) manifolds, including their wide applications in various areas of mathematical physics. An interesting aspect of this area is that, though rooted in differential geometry, it has deep and extensive interactions with complex (algebraic) geometry, and global analysis. Also, it has become clear recently that techniques borrowed from symplectic and contact geometry are useful in metric problems as well.

It is our goal to bring together leading experts from the aforementioned areas, as well as promising students and young researchers, in order to create an open learning environment and the ground for a fruitful exchange of ideas, with the goal of creating new visions and collaborations between experts and students alike.

The Maple Conference 2021 - Maple in Mathematics Education and Research

This FREE virtual conference is dedicated to exploring different aspects of the math software Maple, including Maple's impact on education, new symbolic computation algorithms and techniques, and the wide range of Maple applications. Attendees will have the opportunity to learn about the latest research, share experiences, and interact with Maple developers.

The conference will take place online, and will include live presentations and discussions as well as recordings and chatrooms, in order to accommodate time zones. Maplesoft staff will also offer Maple training sessions on a variety of topics during the conference.

All presenters at the conference are invited to submit a full paper. These submissions undergo peer-review, and the decision about acceptance or rejection lies with the Program Committee. Accepted papers are published in the conference proceedings.

The fourteenth Annual Binghamton University Graduate Combinatorics Algebra and Topology Conference (BUGCAT Conference) will meet November 6-7 and November 13-14, 2021 online. Graduate students at all levels, as well as faculty, are invited to give a 30-minute talk; talks may be expository or on current research. The deadline for submitting talks is October 15. This year, we have three distinguished keynote speakers: Tara Holm (Cornell Univsersity), Dandrielle Lewis (High Point Univsersity) and Inna Zakharevich (Cornell University).

Event Contact and Website Info: http://seminars.math.binghamton.edu/BUGCAT/index.html

We are happy to announce that the Institut Mittag-Leffler will be hosting a research program entitled

"HIGHER ALGEBRAIC STRUCTURES IN ALGEBRA, TOPOLOGY AND GEOMETRY”

from January 10, 2022 to April 29, 2022.

Junior researchers (advanced PhD students or young postdocs) can apply for a fellowship to attend the program, covering all expenses (deadline: December 31, 2020). For all others, the program is by invitation only.

Institut Mittag-Leffler in Danderyd, just north of Stockholm, Sweden, is an international centre for research and postdoctoral training in mathematical sciences. The oldest mathematical research institute in the world, it was founded in 1916 by Professor Gösta Mittag-Leffler and his wife Signe, who donated their magnificent villa, with its first-class library, for the purpose of creating the institute that bears their name.

Program web page: http://www.mittag-leffler.se/langa-program/higher-algebraic-structures-algebra-topology-and-geometry

Junior research fellowships: http://www.mittag-leffler.se/research-programs/junior-fellowship-program

The organizers
Gregory Arone ([email protected])
Tilman Bauer ([email protected])
Alexander Berglund ([email protected])
Søren Galatius ([email protected])
Jesper Grodal ([email protected])
Thomas Kragh ([email protected])

The Cornell Topology Festival is a three-day annual conference showcasing recent developments in topology and allied areas.

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

This will be a split transatlantic conference taking place at the Fields Institute in Canada and the Max Planck Institute for Mathematics in Germany, with videoconferencing connections in place to help collaboration.

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

This will be a split transatlantic conference taking place at the Fields Institute in Canada and the Max Planck Institute for Mathematics in Germany, with videoconferencing connections in place to help collaboration.

Description The goal of this summer school is to introduce participants to tools and ideas from algebraic topology and homotopy theory that are used in the study of fixed point theory. The workshop will be centered around mini-courses, both on classical fixed-point theory and on modern techniques such as duality theory, spectra, and trace methods in algebraic K-theory.

The intended audience for this summer school should be familiar with the material in Hatcher (except the appendices). This reflects our goal that the school be accessible to second and third year students with an interest in algebraic topology. The school will be structured around a few mini-courses, which will run in an active-learning style.

The theory of automorphic forms is a dynamically expanding part of number theory with an increasing number of connections and applications to other branches of mathematics as well as physics. Research is driven by long standing conjectures and unexpected breakthroughs.

The purpose of this special semester is to bring together established researchers as well as those just starting their careers or studies. We would like to provide a rich and stimulating environment for interactions. There will be ample opportunity for the participants to present classical results and new developments. It is hoped that visits within this program will lead to further collaborations and progress.

The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

The Langlands program aims to relate systems of polynomial equations with integer coefficients to automorphic forms, i.e. functions on symmetric spaces with a large number of discrete symmetries. The focus of the trimester will be on some manifestations of this program, including:

moduli spaces of shtukas
p-adic techniques in local Langlands and the relation to geometric Langlands
Shimura varieties and more general spaces in global Langlands