{"id":20780,"date":"2026-07-10T13:23:19","date_gmt":"2026-07-10T11:23:19","guid":{"rendered":"https:\/\/scm.iec.cat\/?post_type=sessions&p=20780"},"modified":"2026-09-18T17:16:46","modified_gmt":"2026-09-18T15:16:46","slug":"bmd-2026-especial-scm-emya","status":"publish","type":"sessions","link":"https:\/\/scm.iec.cat\/eng\/sessions\/bmd-2026-especial-scm-emya\/","title":{"rendered":"BMD 2026-Especial-1-SCM-EMYA"},"content":{"rendered":"

Room:\u00a0 Prat de la Riba, IEC
\nORG: Blas Fern\u00e1ndez, Cristina Molero-R\u00edo, Bel\u00e9n Pulido, Roser Homs<\/p>\n

Mathematics Online Seminar Series (MOSS)
\nSpecial hybrid session SCM \u2013 EMYA<\/h3>\n

Speaker: <\/strong>Elba Garcia Failde (Universitat Polit\u00e8cnica de Catalunya)<\/strong><\/p>\n

Title: The negative counterpart of Witten\u2019s r-spin conjecture<\/em><\/strong><\/p>\n

Abstract<\/strong>:
\nThe moduli space of algebraic curves lies at the crossroads of geometry, topology, and mathematical physics. A landmark result in the subject originated from a 1990 conjecture of Witten, proved by Kontsevich, which relates intersection theory on moduli spaces of curves to the KdV integrable hierarchy. This correspondence may be viewed as the case r = 2 of a broader family of theories.<\/p>\n

In 2017, Norbury proposed a surprising analogue involving negative square roots of the canonical bundle, corresponding to r = -2. In joint work with N. Chidambaram and A. Giacchetto, we proved this conjecture and derived new relations among tautological classes on the moduli space of curves.<\/p>\n

More generally, we introduced a new family of cohomology classes associated with negative r-th roots of the canonical bundle. These classes form a cohomological field theory that can be regarded as a negative counterpart of Witten\u2019s r-spin theory, while exhibiting a remarkably simple geometric structure. We showed that the resulting intersection numbers can be computed recursively by the so-called topological recursion and, equivalently, W-constraints.<\/p>\n

The talk will provide an overview of these developments and the connections they reveal between the moduli spaces of curves, integrable systems, and topological recursion.<\/p>\n

 <\/p>\n

 <\/p>\n

Panel: Challenges of being an early career researcher in math today<\/h3>\n

Speakers:<\/strong><\/p>\n

Marina Vegu\u00e9 (Universitat Polit\u00e8cnica de Catalunya)<\/strong><\/p>\n

Anna Jov\u00e9 (Imperial College London)\u00a0<\/strong><\/p>\n

Carles Checa (University of Copenhagen)<\/strong><\/p>\n

Donato Scarcella (University of Barcelona)<\/strong><\/p>\n

MOSS: Check Seminar series at Youtube link<\/a><\/p>\n

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