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.
Note unusual time (1pm) and room (L2)
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.
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.