Junior strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research area. This is primarily aimed at PhD students and post-docs but everyone is welcome.
Junior strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research area. This is primarily aimed at PhD students and post-docs but everyone is welcome.
The homogeneous coordinate ring of a projective variety may be constructed by geometrically quantizing the multiples of a symplectic form, using the complex structure as a polarization. In this talk, I will explain how a holomorphic Poisson structure allows us to deform the complex polarization into a generalized complex structure, leading to a non-commutative deformation of the homogeneous coordinate ring. The main tool is a conjectural construction of a category of generalized complex branes, which makes use of the A-model of an associated symplectic groupoid. I will explain this in the example of toric Poisson varieties. This is joint work with Marco Gualtieri (arXiv:2108.01658).
Junior strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research areas. This is primarily aimed at PhD students and post-docs but everyone is welcome.
Junior strings is a seminar series where DPhil students present topics of common interest that do not necessarily overlap with their own research areas. This is primarily aimed at PhD students and post-docs but everyone is welcome.
Junior strings is a seminar series where DPhil students present topics of comment interest that do not necessarily overlap with their own research areas. This is primarly aimed at PhD students and post-docs but everyone is welcome.
I will review some well-established relationships between four manifolds and vertex algebras that can be deduced from studying the M5-brane worldvolume theory, and outline some of the corresponding results in mathematics which have been understood so far. I will then describe a proposal of Gaiotto-Rapcak to generalize these ideas to the setting of multiple M5 branes wrapping divisors in toric Calabi-Yau threefolds, and explain work in progress on understanding the mathematical implications of this proposal as a complex network of relationships between the enumerative geometry of sheaves on threefolds and the representation theory of affine Lie algebras.
Note unusual time (1pm) and room (L2)
Can you hear the shape of a drum?
Discover the answer to this pressing question and more in the new series of Bach, the Universe & Everything. This secular Sunday series is a collaborative music and maths event between the Orchestra of the Age of Enlightenment and Oxford Mathematics. Through a series of thought-provoking Bach cantatas, readings and talks from leading Oxford thinkers, we seek to create a community similar to the one that Bach enjoyed in Leipzig until 1750.
The Hull--Strominger system is a system of non-linear PDEs on heterotic string theory involving a pair of Hermitian metrics $(g,h)$ on a six dimensional manifold $M$. One of these equations dictates the metric $g$ on $M$ to be conformally balanced. We will begin the talk by giving a description of the geometry of cohomogeneity one manifolds and SU(3)-structures. Then, we will look for solutions to the Hull--Strominger system in the cohomogeneity one setting. We show that a six-dimensional simply connected cohomogeneity one manifold under the almost effective action of a connected Lie group $G$ admits no $G$-invariant balanced non-Kähler SU(3)-structures. This is a joint work with F. Salvatore.