The classification of tempered irreducible representations for real reductive groups was completed in the 1970s by Knapp and Zuckerman, following Harish-Chandra's work on the Plancherel formula. But some aspects of the subject are now undergoing a re-examination, following the discovery of new perspectives. C*-algebras and K-theory are valuable tools in Representation Theory, as shown, for instance, by the Mackey bijection. Indeed, it was the Connes-Kasparov isomorphism in K-theory that motivated the search for a natural bijection between the tempered dual of a real reductive group and the unitary dual of its Cartan motion group, as initially suggested by Mackey in the 1970s.

The meeting will focus on recent developments in which K-theoretic ideas have offered new perspectives on the tempered dual for reductive groups or symmetric spaces, and conversely on new approaches to operator-algebraic problems using contemporary tools in representation theory.

Topics will include:

• New approaches to the Mackey bijection through pseudodifferential operator theory, which has itself undergone an extensive conceptual redesign in the past decade, thanks again to C*-algebra and K-theory connections;
• New perspectives on the the Connes-Kasparov isomorphism using Dirac cohomology and cohomological induction;
• Higher orbital intergrals, which make it possible to go beyond the "noncommutative topology of the tempered dual'', hinting at something like the "differential geometry'' of this noncommutative space;
• Study of the Casselman-Schwartz algebras and their K-theory via Paley-Wiener theorems, and connections with the Connes-Kasparov isomorphism;
• C*-algebraic analysis of the tempered dual from the point of view of G as a symmetric space for GxG, and more generally of the tempered spectrum of symmetric spaces.

We are pleased to announce the fourth installment of the Upstate New York Topology Seminar (UNYTS)! Binghamton University will be hosting UNYTS 2025 from Saturday March 1st - Sunday March 2nd in Binghamton, New York. The conference is open to everyone, you do not need to be from NY to register or to apply for funding.

The registration form is on the website. Please register by 01/31 to be considered for funding. The deadline to register is 02/15.

Our plenary speakers are:

Carolyn Abbott (Brandeis University)

Christy Hazel (Grinnell College)

Thomas Koberda (University of Virginia)

J.D. Quigley (University of Virginia)

We will also have parallel sessions where individuals can give 20 minute talks. Please register if you are interested in giving one!

Speakers:

 Charlotte Chan
 Jessica Fintzen
 Florian Herzig
 Tasho Kaletha 

This is a 4-day workshop that aims to explore connections between p-adic Arthur and ABV packets and geometric representation theory/the geometric Langlands program. It will feature talks from experts in both areas. The primary goal of this workshop is to foster new research directions and collaborations.

Harmonic analysis on homogeneous spaces is a fundamental area of research that simultaneously generalizes classical harmonic analysis on groups and on Riemannian symmetric spaces. It naturally relates to many areas of mathematics, playing a central role in representation theory and the theory of automorphic forms.

This workshop will be an occasion to introduce recent developments in some of these areas. It will also aim to explore new connections between them and extend the fruitful interactions between C*-algebras, harmonic analysis and representation theory beyond the classical setting of groups to the general setting of homogeneous spaces.

Topics will include:

• C*-algebraic approaches to the tempered dual of non-Riemannian symmetric spaces;
• Harmonic analysis and Plancherel theory for spherical spaces;
• Connections with the Langlands program and periods of automorphic forms;
• Recent approaches to the theta correspondence via C*-algebras

The school and workshop will be devoted to the most diverse aspects of group theory and geometry in their broadest sense (including algebraic geometry and neighboring fields).

1) The conference "Groups and geometry" between April 6-11, 2025.

https://erdoscenter.renyi.hu/events/groups-and-geometry-workshop

Speakers:

Nir Avni, Gregorio Baldi, Mladen Bestvina, Emmanuel Breuillard, Serge Cantat, Thomas Delzant, Philippe Eyssidieux, Damien Gaboriau, Tsachik Gelander, Thomas Koberda, Julien Marché, Sam Mellick, Beatrice Pozzetti, Andrew Putman, Pierre Py, Nick Salter, Alex Suciu, Slobodan Tanusevski, Tianyi Zheng.

2) The school "Groups and geometry" between March 31 and April 5, 2025.

https://erdoscenter.renyi.hu/events/groups-and-geometry-school

The school will feature four series of lectures by Andrew Putman, Pierre Py, Michael Chapman and Jean Rainbault. The main target audience for the school preceeding the conference are PhD students and postdocs.

Both events are organized at the Erdős Center affiliated with the Rényi Institute of Mathematics and will take place in the main hall of the Rényi Institute in the heart of Budapest.

The school and the conference are supported by the ERC Advanced Grants of Gavril Farkas and Bruno Klingler. For the school support for young participants is available and the application procedure is described on the website above.

The deadline for registration is February 15th.

With our best regards,

Miklós Abért, Gavril Farkas, Bruno Klingler.

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

The next installment of URiCA, Upcoming Researchers in Commutative Algebra (previously KUMUNU Jr), will take place on May 3rd and 4th at the University of Nebraska-Lincoln. The goal of this conference is to showcase research done by graduate students and postdocs and promote interaction among junior researchers in commutative algebra. There will be seven 50-minute invited talks as well as a poster session and a call for collaboration/open problem session. Please use the links below to register and note the registration deadline for funding is March 23rd.

List of invited speakers:

Bek Chase (Purdue University)

Caitlin Davis (University of Wisconsin-Madison)

Karthik Ganapathy (University of California, San Diego)

Nawaj KC (University of Nebraska-Lincoln)

Feiyang Lin (University of California, Berkeley)

Anastasia Nathanson (University of Minnesota Twin Cities)

Xianglong Ni (University of Notre Dame)

Please don't hesitate to contact the organizing team with any questions.

We really hope to see you at the conference!

Conference Homepage

Registration Link

09E2IhYGzxDAj5qWgthnnvYiYlTZazt3ZE4w/viewform

QTMART is a workshop on algebra and representation theory taken in a broad sense, run by and for queer and trans mathematicians. It aims to showcase the research done in this field by this community and bring together senior researchers, junior researchers, and graduate students to discuss topics of common interest in a non-competitive environment.

Alongside the workshop, an exploratory program on queer mathematics and inclusion will take place. The activities of the program will focus on exploring what it means to do mathematics as a queer or trans mathematician, and if there is such a thing as queer mathematics. It will also address the question of how to make the working culture and environment more welcoming and diverse, and will aim to initiate concrete actions in this regard.

This workshop welcomes talks by early-career researchers. Please indicate on the application form if you would like to give a talk and on what topic.

The event is open to everyone accepting the community agreement (which will be based upon Oberwolfach's Statement of Respect and Collegiality https://www.mfo.de/about-the-institute/guiding-principles/equality-diversity-inclusion/statement-for-respect-and-collegiality, taking suggestions from the participants into account). However, priority in assigning talks will be given to self-identifying queer and trans mathematicians, and some activities in the program will be reserved for this group.

Plenary Speakers:

• Chris Bowman (University of York)
• Ian Musson (University of Wisconsin-Milwaukee)
• J. Daisie Rock (FWO, KU Leuven, UGent)
• Beth Romano (King's College London)
• Dani Tubbenhauer (University of Sydney)

On the occasion of 40+ years after the seminar paper of Gross--Zagier, we bring together experts to deliver lectures on a broad range of topics connected with the Gross-Zagier formula, its generalizations, related future directions, and other works that it has inspired.