East Midlands Seminar in Geometry
The East Midlands Seminar in Geometry (EmSG) is an Algebraic Geometry seminar based at the Universities of Nottingham, Loughborough, Leicester, and Sheffield. The EmSG meets approximately six times per year, and is funded by a grant from the LMS.
The general organisers are Alexander Kasprzyk (Nottingham), Artie Prendergast-Smith (Loughborough), Frank Neumann (Leicester), and Paul Johnson (Sheffield).
Subscribe to the online calendar:
- 13 May 2016
- Leicester, Michael Atiyah Building, First Floor, Room 119
- 12.30-1.30pm: Katrin Leschke (Leicester)
- Quaternionic Holomorphic Geometry
- In my talk, I will give a short introduction to Quaternionic Holomorphic Geometry: conformal maps into 3-space can be used used as an analogue for complex holomorphic functions. As an example of the theory I will discuss the Darboux transformation of minimal surfaces.
- 2.30-3.30pm: Marina Logares (Oxford)
- Higgs bundles, Integrable systems, singularities and a Torelli theorem
- We will introduce Higgs bundles over a punctured Riemann surface. The moduli space of such objects describes an integrable system that completely determines the Riemann surface together with the punctures. Hence, it provides a Torelli type theorem for such moduli spaces. This is joint work with I. Biswas and T. Gómez.
- 4-5pm: Gabriele Balletti (Stockholm)
- Classifications of lattice polytopes and open questions in Ehrhart Theory
- A lattice polytope P is the convex hull of finitely many points of a lattice (such as Z^d). Counting the lattice points of P leads to a discrete version of the volume of P. The Ehrhart Theory studies the relation between the discrete and the usual notion of volume of a polytope, but the most important problems in this area are still open already in dimension 3. In this talk I give an introduction to this theory and explain how classifications of lattice polytopes can suggest some behaviours in higher dimension.
- 18 March 2016
- Sheffield, Hicks Building J11
- 2-3pm: Diane Maclagan (Warwick)
- Tropical ideals, varieties, and schemes
- 3.30-4.30pm: Hendrik Suess (Manchester)
- Torus equivariant K-stability in complexity one
- 5 February 2016
- Loughborough, Schofield Building
- 1.30-2.30pm: Norbert Pintye (Loughborough)
- Complexity in Light of the Castelnuovo--Mumford Regularity
- 3-4pm: Roberto Svaldi (Cambridge)
- Hyperbolicity for log pairs
- A classical result in birational geometry, Mori's Cone Theorem, implies that if the canonical bundle of a variety X is not nef then X contains rational curves. This is the starting point of the so-called Minimal Model Program. In particular, hyperbolic varieties are positive from the point of view of birational geometry. Very much in the same vein, one could ask what happens for a quasi projective variety, Y. Using resolution of singularity, then one is lead to consider pairs (X, D) of a variety and a divisor, such that Y=X \ D. I will show how to obtain a theorem analogous to Mori's Cone Theorem in this context. Instead of rational complete curves, algebraic copies of the complex plane will make their appearance. I will also discuss an ampleness criterion for hyperbolic pairs.
- 16 December 2015
- Nottingham, Physics C04
- 2-3pm: Paul Johnson (Sheffield)
- Topology of Hilbert schemes and the Combinatorics of Partitions
- The Hilbert scheme of n points on a complex surface is a smooth manifold of dimension 2n. Their topology has beautiful structure related to physics, representation theory, and combinatorics. For instance, Göttsche's formula gives a product formula for generating functions for their Betti numbers. Hilbert schemes of points on C^2/G, for G a finite group, are also smooth, and when G is abelian their topology is encoded in the combinatorics of partitions. When G is a subgroup of SL_2, the topology is well understood and in terms of cores and quotients of partitions. Following Gusein-Zade, Luengo and Melle-Hernández we study general abelian G, stating a conjectural product formula, and proving a homological stability result using a generalization of cores and quotients.
- 3.30-4.30pm: Cristina Manolache (Imperial)
- Enumerative meaning of genus one Gromov-Witten invariants
- Enumerative questions have a very long history in Mathematics and have been subject to a significant revival in the nineties with the construction of the moduli space of stable maps and the machinery allowing us to integrate on these very singular spaces. However, moduli spaces of stable maps have many "unwanted" components which are reflected in the intersection numbers. In this talk I will discuss the meaning of genus one Gromov-Witten invariants of three folds.
- 5-6pm: Lino Amorim (Oxford)
- Derived Lagrangian correspondences
- I will describe the construction of the Weinstein symplectic category of Lagrangian correspondences in the context of shifted symplectic geometry. I will explain how this follows from "quantizing" (-1)-shifted symplectic derived stacks: we assign a perverse sheaf to each (-1)-shifted symplectic derived stack (already done by Joyce and his collaborators) and a map of perverse sheaves to each (-1)-shifted Lagrangian correspondence (still conjectural).
Claiming back travel expenses
Travel expenses are covered by a grant from the LMS. Download and complete an expenses form, then post the completed form (along with receipts) to:
Getting to Nottingham
- Alexander Kasprzyk
- School of Mathematical Sciences
- University of Nottingham
- University Park
- NG7 2RD
There are trams leaving from Nottingham train station (go upstairs) every 7 minutes. You want a tram in the direction of Toton Lane; get off at the University of Nottingham stop. You need to buy a ticket from the machine before you get on the tram. The trip takes about 15 minutes. People travelling from Loughborough might prefer to catch the train to Beeston train station and walk to the campus.
The Maths building is number 20 on the campus map. Talks are usually held in the Physics building, opposite the Maths building, number 22 on the map. The tram stop is the green circle on the map near the South Entrance. A nice place for lunch is the Lakeside Arts cafe (number 49 on the map, near the lake and tram stop).
Getting to Loughborough
Talks are typically held in the Schofield Building.
From the station, catch the Kinchbus Sprint to the university (every 10 minutes; £1.90 each way). Get off at "Computer Studies"; the Schofield Building is directly behind you. Alternatively, the university is 30-40 minutes from the station on foot.
Getting to Leicester
Talks are held in the Michael Atiyah Building.
Getting to Sheffield
Talks are held in the Hicks Building.