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Directorate for Mathematical and Physical SciencesNSF · NSFNSF

Conference: CMND 2024 program: Field Theory and Topology

Stephan Stolz·University of Notre Dame, IN·2024–2026·COMPLETED
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INSTITUTION

University of Notre Dame, IN

PRINCIPAL INVESTIGATOR

Stephan Stolz

FUNDING

$39K

YEAR

2024

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Abstract

The program “Field theory and topology” to be held at the Center for Mathematics at Notre Dame (CMND), June 3—21, 2024 will continue the line of CMND summer programs and consists of a graduate/postdoctoral summer school, a conference, and an undergraduate summer school. The program will expose a new generation of undergraduates and early-career researchers to the new ideas, developments, and open problems in the exciting meeting place between topology and quantum field theory where many surprising advances were made recently. There is a rich interplay between quantum field theory and topology. The program “Field theory and Topology” will focus on recent extraordinary developments in this interplay -- new invariants of manifolds and knots coming from field-theoretic constructions; new languages and paradigms for field theory coming from interaction with topology: functorial field theory, cohomological (Batalin-Vilkovisky) approach, approach via derived geometry and via factorization algebras. Among subjects discussed at the program will also be supersymmetric and extended topological field theories, holomorphic twists. Webpage of the event: https://sites.nd.edu/2024cmndthematicprogram/ This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

Directorate for Mathematical and Physical SciencesINFRASTRUCTURE PROGRAMCONFERENCE AND WORKSHOPSTOPOLOGYthroughexcitingresearcherssupportconsistspostdoctoralworthyreflectstheretopologymeritbatalinnotrelanguagesamongrecentholomorphicderivedtheories

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