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: Stefan Foerste

Geometry and topology: Derived categories of Enriques and Bielliptic surfaces

Doctoral thesis defence: Optimal adaptive designs and adaptive randomization techniques for clinical trials

Presentation of Degree project C: Linearscaling recursive expansion of the FermiDirac operator

Colloquium: Local Constraint Solving — How to Colour Without Looking (Much)

Doctoral thesis defence: Constructions in higherdimensional AuslanderReiten theory

The 19th Geometry and Physics Seminars

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String Math 2019

String Math 2019 Public Lectures: Mathematics and the Cosmos

Colloquium: Kathryn Hess
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

Cohomology of the toric arrangement associated with A(n)
2019

nCluster tilting subcategories of representationdirected algebras
2019

Fiat categorification of the symmetric inverse semigroup IS_{n} and the semigroup F_{n*}
2018

A complete knot invariant from contact homology
2018

Affine periplectic Brauer algebras
2018

Nearby Lagrangian fibers and Whitney sphere links
2018
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.
Conferences
The series of String Math conferences has developed into a central event on the interface between mathematics and physics related to string theory, quantum field theory and neighboring subjects. The String Math 2019 conference is organised by the Department of Physics and Astronomy and by the Department of Mathematics of Uppsala University.