Opening of the Meeting & Society Business
Konstanze Rietsch (King's College, London)
Grassmannians and polytopes
Abstract: I will describe the mirror duals of Grassmannians introduced in joint work with Robert Marsh, and explain two different aspects of mirror symmetry in this setting (the first joint with R. Marsh, the second joint with L. Williams). In both applications Gromov-Witten invariants come up, in different ways.
Lauren Williams (UC Berkeley)
The positive Grassmannian and shallow water waves
Abstract: the positive Grassmannian is a remarkable subset of the real Grassmannian which has recently arisen in diverse contexts such as integrable systems, mirror symmetry, scattering amplitudes, and free probability. I will provide an elementary introduction to the positive Grassmannian, and explain an intriguing connection to shallow water waves (via the KP hierarchy). Based on joint work with Yuji Kodama.
These lectures are aimed at a general mathematical audience. All interested, whether LMS members or not, are most welcome to attend this event.
The meeting will include the announcement of the 2018 LMS Prize-winners.
The meeting will be followed by a reception, which will be held at De Morgan House, 57-58 Russell Square, London, WC1B 4HS.
A Society Dinner will be held after the meeting at the Montague on the Gardens Hotel. The cost of the dinner will be £35.00, including drinks. To reserve a place at the dinner, please email Elizabeth Fisher
A Graduate Student Meeting will take place in the morning before the General Meeting and Hardy Lecture.
This meeting is intended as an introduction to the Society's General Meeting later in the day. All graduate students (and indeed any other mathematicians) are very welcome.
Dr Anna Felikson (Durham) Introduction to Cluster Algebras
Abstract: Cluster algebras were introduced by Fomin and Zelevinsky in 2000, since then they have found their connections and applications in numerous fields of mathematics and mathematical physics. In this talk we will define cluster algebras and consider their connections to triangulated polygons and Grassmannians Gr(2,n).
Professor Sibylle Schroll (Leicester) Geometric Models in Representation Theory
Abstract: In this talk we will give an overview of some of the many ways in which surfaces are intrinsically linked to the representation theory of algebras. We will show how graphs embedded in surfaces are at the origin of exciting new connections of representation theory with other areas of mathematics such as homological mirror symmetry and cluster algebras.
Student talks (6 slots available)
More details and how to register here
London, WC1H 9JP