Diletta Martinelli , One such generalisation, the higher frieze pattern, introduces a link to higher Auslander-Reiten theory. From a commutative algebra perspective, however, the semiring of tropical polynomials is not as nice as the its standard counterpart. Factoriality and class groups of cluster algebras. It ensures strong finiteness properties for the relevant deformation complex, making the deformation spaces computable in terms of topological invariants such as intersection cohomology. Annales scientifiques de l’Ecole Normale Superieure, 48 4 ,

Arnaud Mortier Dublin City University: In joint work with Greg Stevenson we provide an infinite version of this result by showing that the lattice of non-crossing partitions of the infinity-gon with a point at infinity is isomorphic to the lattice of thick subcategories in the bounded derived category of graded modules over the dual numbers. The dimer models can be embedded in a surface with boundary. This punctured sphere corresponds to the physicists’ stringy Kahler moduli space for a certain 3-dimensional surgery in algebraic geometry, and it gives us various predictions for the derived symmetry group, which is why we care. Joint with Alastair Craw and Ziyu Zhang: We use these to derive certain infinite dimensional algebras and consider idempotent subalgebras w.

Nick Manton University of Cambridge: A probably slightly outdated CV.

## Mathematics Genealogy Project

This is joint work with Piotr Achinger and Nathan Ilten. It ensures strong finiteness properties for the relevant deformation complex, making the deformation spaces computable in terms of topological invariants such as intersection cohomology. Semi simple Exercises in Quantum Cohomology.

From a commutative algebra perspective, however, the semiring of tropical polynomials is not as nice as the its standard counterpart. Journal of the AMS 27 And a strict monoidal action can be also defined on the homotopy category of pyramids.

## Arend Bayer

Joseph Karmazyn University of Sheffield: The dimer models can be embedded in a surface with boundary. Recently, I have been awarded an ERC consolidator grant. Research interests Algebraic Geometry: This will be a report on joint work with David Pauksztello. Idan Eisner University of Loughborough: Threefold flops, matrix factorisations, and noncommutative algebras.

Annales scientifiques de l’Ecole Normale Superieure, 48 4 Lewis, and work with E. My official school page has more contact information. This suggests two conjectures: Sue Rizzsrdo University of Edinburgh: For some of these classes a thess cluster structure can be constructed. Silting theory and stability spaces. For a simple complex Lie group G and a Belavin-Drinfeld class, one can define a corresponding Poisson bracket on the ring of regular functions on G.

I will then show how the combinatorics of silting mutation can give one information regarding the structure of the space of stability conditions. Mori cones of holomorphic symplectic varieties of K3 type.

# University of Leeds Algebra Seminar

We use these to derive certain infinite dimensional algebras and consider idempotent subalgebras w. Joint with Brendan Hassett and Yuri Tschinkel: David Pauksztello Lancaster University: The talk begins with an introduction to class groups and cluster algebras. We will describe higher frieze patterns, and how to generalise some of the classical combinatorial properties such as the quiddity sequence. I will describe joint work with Travis Schedler, in which we thesid a natural new nondegeneracy condition for Poisson brackets, called holonomicity.

In this talk, we give lower bounds on the size of separating sets based on the geometry of the action. This uses the theory of valuated matroids.

Triangles in cluster categories and punctured skein relations We describe triangles in the cluster category of type D, and show the relation between them and punctured skein relations arising from Teichmuler theory. Here are brief lecture rizzagdo on Bridgeland stability conditions intended for graduate students interested in the topic.

You can find all my papers on the arXivon google scholarand after a while on MathSciNet.