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## Or choose your own subject tags below

Welcome to MathMeetings.net! This is a list for research mathematics conferences, workshops, summer schools, etc. Anyone at all is welcome to add announcements.

## Know of a meeting not listed here? Add it now!

Additional update notes are available in the git repository (GitHub).

# Upcoming Meetings

## June 2021

### Workshop: Higher structures and operadic calculus

Meeting Type: Workshop

Contact: Bruno Vallette

### Description

Since their introduction 50 years ago, the notions of infinity-algebras (Stasheff), operads (May), model categories (Quillen), and higher categories (Boardman-Vogt) gave rise to powerful tools which made possible the resolution of open problems and prompted revolutions in many domains like algebraic topology (rational homotopy theory, faithful algebraic invariants of the homotopy type of spaces), deformation theory (formality theorems, formal moduli problems), and mathematical physics (quantisation of Poisson manifolds, quantum field theories), to name but a few. This theory of higher structures using operadic calculus is currently under rapid development and there is a need today to provide the community with a modern state of the art; this is the main goal of the present workshop, which will be accessible to a wide audience.

### Applied Topology in Bedlewo

Meeting Type: conference

Contact: Zbigniew Blaszczyk, Pawel Dlotko

### Description

Applied and computational topology, one of the most rapidly growing branches of mathematics, is becoming a key tool in applied sciences. It is making impact not only in mathematics, but on the wide interdisciplinary environment including material and medical sciences, data science, robotics. Building upon successful conferences held in Bedlewo in 2013 and 2017, the next edition of Applied Topology in Bedlewo will take place in 2021. Similarly as before, our aim is to bring together scientists from all over the world working in various fields of applied topology. This time we will focus on:

- random topology,
- topological methods in combinatorics,
- topological data analysis and shape descriptors,
- topological analysis of time-varying data in biology, engineering and finance,
- topological and geometrical descriptors of porous materials.

### Masterclass: High dimensional cohomology of moduli spaces

Meeting Type: Masterclass

Contact: Peter Patzt

### Description

In this Masterclass, we will learn about the high dimensional cohomology of moduli spaces such as the moduli space of curves, graphs, and lattices. These moduli spaces are classifying spaces of groups such as mapping class groups, automorphism groups of free groups, and arithmetic groups. We will learn about duality groups whose high dimensional cohomology of these moduli spaces is related to the low degree homology groups with twisted coefficients. We will also discuss graph homology and tropical curves.

The masterclass is aimed at advanced graduate students and postdocs with an interest in algebraic topology and geometric group theory. Connections with algebraic geometry and number theory will be mentioned but this is not the primary focus.

## August 2021

### Perspectives on quantum link homology theories

Meeting Type: combined student workshop & research conference

Contact: Claudius Zibrowius, Lukas Lewark

### Description

Details see conference website.

### Georgian Mathematical Union XI Annual International Conference

Meeting Type: International Conference

Contact: Alexander Meskhi, David Natroshvili, Tinatin Davitashvili

### Description

## September 2021

### 2nd IMA Conference on Mathematics of Robotics

Meeting Type: conference

Contact: Pam Bye

### Description

This Conference has been organised in cooperation with the Society for Industrial and Applied Mathematics (SIAM).

Areas of interest include, but are not limited to: Topology. Kinematics. Algebraic topology of con?guration spaces of robot mechanisms. Topological aspects of path planning and sensor networks. Differential topology and singularity theory of robot mechanism and moduli spaces. Algebraic Geometry. Varieties generated by linkages and constraints. Geometry of stiffness and inertia matrices. Rigid-body motions. Computational approaches to algebraic geometry. Dynamical Systems and Control. Dynamics of robots and mechanisms. Simulation of multi-body systems, e.g. swarm robots. Geometric control of robots. Optimal control and other optimisation problems. Combinatorial and Stochastic Methods. Rigidity of structures. Path planning algorithms. Modular robots. Statistics. Stochastic control. Localisation. Navigation with uncertainty. Statistical learning theory. Cognitive Robotics. Mathematical aspects of Artificial Intelligence, Developmental Robotics and other Neuroscience based approaches.

Invited speakers: Dr Mini Saag – University of Surrey, UK Prof Frank Sottile - Texas A&M University, USA Prof Stefano Stramigioli - University of Twente, The Netherlands

### Six functors formalism and Motivic homotopy theory

Meeting Type: Summer school and conference

Contact: Fabrizio Andreatta, Federico Binda, Alberto Vezzani, Paul Arne Østvaer

### Description

**“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.

## October 2021

### Lattices and Cohomology of Arithmetic Groups: Geometric and Computational Viewpoints

Meeting Type: conference

Contact: see conference website

### Description

A lattice is a discrete collection of regularly ordered points in space. Lattices are everywhere around us, from the patterned stacked arrangements of fruits and vegetables at the grocery to the regular networks of atoms in crystalline compounds. Today lattices find applications throughout mathematics and the sciences, applications ranging from chemistry to cryptography and Wi-Fi networks.

The focus of this meeting is the connections between lattices and number theory and geometry. Number theory, one of the oldest branches of pure mathematics, is devoted to the study properties of the integers and more sophisticated number systems. Lattices and number theory have many deep connections. For instance using number theory it was recently demonstrated that certain packings of balls in high dimensions are optimally efficient. Lattices also appear naturally when one studies certain spaces that play an important role in number theory; one of the main focuses of this meeting is to investigate computational and theoretical methods to understand such spaces and to expand the frontier of our algorithmic knowledge in working with them.

### Cohomology of Arithmetic Groups: Duality, Stability, and Computations

Meeting Type: conference

Contact: see conference website

### Description

The cohomology of arithmetic groups is the study of the properties of ``holes'' in geometric spaces that contain information about number theory. The workshop will bring together mathematicians with expertise in number theory, topology, and geometric group theory to tackle these problems and explore recent developments.

## January 2022

### Higher Algebraic Structures In Algebra, Topology And Geometry

Meeting Type: research program

Contact: Gregory Arone, Tilman Bauer, Alexander Berglund, Søren Galatius, Jesper Grodal, Thomas Kragh

### Description

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])

## June 2022

### Homotopy theory with applications to arithmetic and geometry [European side]

Meeting Type: twinned conference (see description)

Contact: Aaron Mazel-Gee

### Description

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.

### Homotopy theory with applications to arithmetic and geometry [North American side]

Meeting Type: twinned conference (see description)

Contact: Aaron Mazel-Gee

### Description

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.