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

Theoretical Physics Wednesday Seminar: Yuta Sekiguchi

Geometry and topology: Legendrian surgery formula and ChekanovEliashberg algebras for singular Legendrian III

CAPA: A computerassisted proof for H(4)≥24 in Hilbert’s sixteenth problem

Theoretical Physics Seminar: Donald Youmans

PDE and applications: Mathematical methods for uncertainty and exclusion in quantum mechanics

The Mystical Space: A Guided Tour in Dialogue with Ulf Danielsson

Exhibition: The Mystical Space: A Guided Tour in Dialogue with Ulf Danielsson

Selected Topics in Continuum Percolation: Phase Transitions, Cover Times and Random Fractals

Colloquium (Kathryn Hess): Topological adventures in neuroscience

Docent lecture (Thomas Kragh)
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

Derived invariance of support varieties
2019

nCluster tilting subcategories of representationdirected algebras
2019

Skew group algebras of Jacobian algebras
2019

Simple transitive 2representations of small quotients of Soergel bimodules
2019

Simple transitive 2representations of left cell 2subcategories of projective functors for star algebras
2019

MorseBott split symplectic homology
2019

From symplectic cohomology to Lagrangian enumerative geometry
2019
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.