REACT

Update [October 25, 2022]

As organizers, one of our most ambitious goals for REACT was to encourage the creation of long-term collaborations between the participants. We are hence really glad to list here in chronological order the papers that have come out of REACT 2021 so far:

• A. Borzì, X. Chen, H. J. Motwani, L. Venturello, M. Vodička: "The leading coefficient of Lascoux polynomials". https://arxiv.org/abs/2106.13104

• A. Kretschmer, "When are symmetric ideals monomial?". https://arxiv.org/abs/2112.04464

• M. Belotti, A. Danelon, C. Fevola, A. Kretschmer, "The enumerative geometry of cubic hypersurfaces: point and line conditions". https://arxiv.org/abs/2201.05424

• A. Almousa, K. Bruegge, M. Juhnke-Kubitzke, U. Nagel, A. Pevzner, "Alexander duals of symmetric simplicial complexes and Stanley-Reisner ideals". https://arxiv.org/abs/2209.14132

• M. Beck, D. Deligeorgaki, M. Hlavacek, J. Valencia-Porras, "Inequalities for $f^*$-vectors of Lattice Polytopes". https://arxiv.org/abs/2210.12271

We hope to attend talks about these papers in person in the near future!

Alessio, Lorenzo and Mariel

REACT is an online workshop aimed at bringing together PhD students in the areas of combinatorics, commutative algebra, applied algebraic geometry and neighbouring subjects. The structure of REACT is modeled after PRAGMATIC, a summer school which took place in Catania, Italy for many years in a row. The goals of this workshop are:

1. To bring students together and help them build a professional network despite the limitations of the COVID-19 pandemic, and

2. To provide a collaborative research experience for students via accessible open problems in combinatorics and algebra.

The schedule is divided into two parts. The workshop is based on the following three courses:

• Matthias Beck - Classifying combinatorial polynomials

• Martina Juhnke-Kubitzke and Uwe Nagel - Symmetries in algebra and combinatorics in finite and infinite settings

• Mateusz Michałek - Applications of enumerative algebraic geometry: complete quadrics in statistics

See the courses page for the abstracts.

On the first week (February 15-19) there will be 3 lectures (one per course) every day. The time commitment is then roughly 5 hours per day, plus optional social activities. In order to accommodate different time zones and schedules we will record the live lectures and make them available shortly afterwards.

At the end of the first week students will choose to work on one of the problems proposed during the lectures. During the second and third weeks they will work on the chosen problem in small groups (3-4 people), with each group arranging their own schedule. The lecturers will help and supervise the groups with online meetings and via the online platform Slack.

Application: In order to ensure a productive and interactive experience, the number of participants is limited. For this reason we ask students to submit a short paragraph (~max. 400 words) discussing their research experience and explaining their interest in the workshop. Please fill in this form by December 31st, 2020.

If the number of applicants exceeds 35, a selection will be made by the organizing committee. Preference will be given to graduate students with less research experience.

EDIT (January 16, 2021): the selection process has now ended. You can check out the list of participants here!

If you have questions please feel free to contact the organizers via the email address below.