Talbot 202One

A primary aim of chromatic homotopy theory is to understand the stable homotopy category by decomposing it into pieces (called chromatic localizations) which are, at least in principle, easier to understand. These chromatic localizations enjoy a certain duality property called ambidexterity, which guarantees that certain homotopy limits can be understood as homotopy colimits (and vice versa). The goal of this workshop is to explain the mathematics of ambidexterity and some of its applications.

Please see the preliminary syllabus for more detailed information.

Suggested prerequisites: Some knowledge of chromatic homotopy theory will be expected; while the workshop will feature a review lecture on the topic, this will be insufficient if the topic is entirely new to participants. Additionally, participants should have familiarity with the language of infinity categories.

Pre-Talbot seminars, organized by departments in the run-up to Talbot, discuss prerequisites and other material related to the workshop. For 2020-21, there were pre-Talbot seminars at Harvard/MIT (organized by Araminta Amabel, Morgan Opie, and Lucy Yang) and University of Louisiana Lafayette (organized by Daniel Davis).

 The workshop discussions will have an expository character and most of the talks will be given by participants. The afternoon schedule will be kept clear for informal discussions and collaborations. The workshop will take place in a communal setting, with participants sharing living space and cooking and cleaning responsibilities.

We cover all local expenses, including lodging and food. We also have limited funding available for participant travel costs.

Update (September 2021): The workshop will be held in a hybrid format, with some in-person participants and some virtual participants. In-person participants should expect to follow mitigation measures such as regular Covid-19 antigen testing, masking in indoor common spaces, and meals taken in a socially distanced/outdoor setting. For virtual participants: we will do our best to create a virtual environment with resembles the workshops of the past. Both in-person and virtual participants will give talks.

Talbot is meant to encourage collaboration among young researchers, particularly graduate students. To this end, the workshop aims to gather participants with a diverse array of knowledge and interests, so applicants need not be an expert in the field. In particular, students at all levels of graduate education are encouraged to apply. Our decisions are based not on applicants' credentials but on our assessment of how much they would benefit from the workshop. As we are committed to promoting diversity in mathematics, we especially encourage women and minorities to apply.

In accordance with the Statement of Inclusiveness, this workshop will be open to everybody, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity. We are committed to ensuring that the Talbot Workshop is a supportive, inclusive, and safe environment for all participants, and that all participants are treated with dignity and respect.