This workshop, sponsored by AIM and the NSF, will be devoted to interactions between p -adic geometry and chromatic homotopy theory. In particular, we will focus on the use of period maps and perfectoid methods to study the moduli stack of formal groups. We hope to use these methods to further our understanding of chromatic and transchromatic phenomena in stable homotopy and to see how the chromatic picture motivates and hints at possible novel results in p -adic geometry.

The main topics of the workshop are:

The p-adic geometry of the moduli stack of formal groups and its role in chromatic homotopy theory. Perfectoid methods in p-adic geometry. Period maps and generalized Rapoport--Zink spaces. This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than August 15, 2024. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.

Before submitting an application, please read the description of the AIM style of workshop.

Knots in Washington 50 will take place from Friday, December 6 to Sunday, December 8, 2024 in Rome/Phillips Hall on the Foggy Bottom Campus at George Washington University. For those interested in attending the conference and/or giving a talk, please fill out the form on our website. We are pleased to announce that our NSF grant allows us to provide travel funding, allowing us to support a diverse community of mathematicians. In particular, we are encouraging students and early career mathematicians to apply, with full consideration given to applications received by November 14th.

Plenary speakers include

• Keiko Kawamura (University of Iowa)

• Mikhail Khovanov (Johns Hopkins University, Baltimore, MD)

• Slava Krushkal (University of Virginia, Charlottesville, VA)

• Christine Lee (Texas State University, San Marcos, TX)

• Adam Lowrance (Vassar College, Poughkeepsie, NY)

• Adam Sikora (University at Buffalo, Buffalo, NY)

The goal of the conference is to bring together international experts and young researchers working in foliations theory, diffeomorphism groups, 3-manifold topology, bounded cohomology, and 1-dimensional dynamics to share their insights and expertise and to foster collaborations that will lead to progress on important problems in both areas. Furthermore, to navigate the impact of the recent advances in each of these areas on the others, there will be minicourses to introduce young researchers to some of the major recent advances in these areas and there will be problem sessions and informal learning groups to come up with new problems within the scope of current techniques and long term projects between the subfields.

Preliminary announcement: StolzFest - a midwest topology seminar being organized by myself, Ryan Grady, and Chris Schommer-Pries honoring Stephan Stolz on the occasion of his retirement.

A list of speakers, as well as information on how to register and apply for support, will be forthcoming!

Calling all topologists and geometers!

We, the Topologically Allied Conference Organizers of IU Bloomington (TACOs, for short), are pleased to announce that the 2025 meeting of the Graduate Student Topology and Geometry Conference will be held at Indiana University in Bloomington, Indiana! This is the 22nd meeting of GSTGC, and it will be held from Friday, April 11 to Sunday, April 13. If you are unfamiliar, GSTGC is a conference designed by and for graduate students who are interested in topology and geometry. The conference will bring over 120 graduate students from all around the country to Bloomington, and no matter what your interests are, there will surely be both a talk that you’ll find interesting and someone else who shares those interests! There is also an opportunity for graduate students to give talks, either expositional or research (see the registration for details). If you have questions feel free to email us at [email protected]. You can find the conference website here: https://topologyandgeometry.iu.edu/gstgc25/.

Registration for the conference is now open, with a deadline of January 15, 2025. You can register at: https://topologyandgeometry.iu.edu/gstgc25/registration.html

Our plenary speakers are:

1. Sarah Koch (University of Michigan)
2. Mark Powell (University of Glasgow)
3. Inna Zakharevich (Cornell University)

In addition to our plenary speakers, we are also excited to announce the following 6 early-career speakers:

1. Agustina Czenky (University of Southern California)
2. Beibei Liu (Ohio State University)
3. Anibal M. Medina-Maradones (University of Western Ontario)
4. Maggie Miller (The University of Texas at Austin)
5. Carmen Rovi (Loyola University Chicago)
6. Roberta Shapiro (University of Michigan)

Combined, these nine speakers’ research areas cover a wide sweep of mathematics, including: topology of 4-manifolds, Bers-Teichmüller theory, scissor congruence, hyperbolic geometry, hyperbolic manifolds, topological quantum field theories, Kleinian groups, limit sets, links in 3-manifolds, applied and computational topology, homotopy theory, surgery theory, K- and L- theory, manifold theory, quantum algebra, Heegaard Floer homology, geometric group theory, and mapping class groups. There will also be at least 28 short graduate student talks to round out the weekend.

We hope to see you in Bloomington!

TACOs

This is a graduate student workshop on discrete groups in topology and algebraic geometry. This includes topics like fundamental groups of varieties and mapping class groups. This is the second week of a three week long thematic program. The conference the following week may also be of interest to graduate students.

This is a conference on discrete groups in topology and algebraic geometry, which includes topics like fundamental groups of varieties and mapping class groups. This is the third week of a thematic program on the topic.