Geometry and physics
Where does mathematics and physics meet? Here you can find some of the cuttingedge research that explores the boundary of the two subjects. This is the official webpage of the project Geometry and Physics funded by the Knut and Alice Wallenberg Foundation.
Calendar
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Preprints Physics
 A Refined N=2 Chiral Multiplet on Twisted AdS_2 x S^1
 NonAbelian gauged supergravities as double copies
 The full spectrum of AdS5/CFT4 II: Weak coupling expansion via the quantum spectral curve
 Evolution for Khovanov polynomials for figureeightlike family of knots
 Twisting with a Flip (the Art of Pestunization)
 String amplitudes from QFT amplitudes and vice versa
 Oneloop Amplitudes for N = 2 Homogeneous Supergravities
Publications Math

Projective modules over classical Lie algebras of infinite rank in the parabolic category
2020

Wide subcategories of dcluster tilting subcategories
2020

Multicover skeins, quivers, and 3d N=2 dualities
2020

Floer theory for Lagrangian cobordisms
2020

Singular BGG complexes for the symplectic case
2020

Constructions of ncluster tilting subcategories using representationdirected algebras
2020

Cell Structure of Bimodules over Radical Square Zero Nakayama Algebras
2020
About the "Geometry and Physics" project
In the last twenty years, thanks to the prominent role of string theory, the interaction between mathematics and physics has led to significant progress in both subjects. String theory, as well as quantum field theory, has contributed to a series of profound ideas which gave rise to entirely new mathematical fields and revitalized older ones.
From a mathematical perspective some examples of this fruitful interaction are the SeibergWitten theory of fourmanifolds, the discovery of Mirror Symmetry and GromovWitten theory in algebraic geometry, the study of Jones polynomial in knot theory, the advances in low dimensional topology and the recent progress in geometric Langlands program.
From a physical point of view, mathematics has provided physicists with powerful tools to develop their research. To name a few examples, index theorems of differential operators, toric geometry, Ktheory and CalabiYau manifolds.
The main focus of the “Geometry and Physics” project regards the following areas:

Contact geometry and supersymmetric gauge theories.

Symplectic geometry and topological strings.

Symplectic geometry and physics interactions with lowdimensional topology.