# British Mathematical Colloquium

This was held at Glasgow (online) (Joint with BAMC): 6-9 April 2021.

The chairman was S Rees .

The partner for this BMC was BAMC

### Minutes of meetings, etc. are available at the links below

#### The plenary speakers were:

Hilgenfeldt, S | Foams: A Prototype for the Structure and Dynamics of Interfaces |

Manolescu, C | Khovanov homology and four-manifolds |

Shipley, R | Multiscale Models of Tumour Fluid and Drug Distribution: Integrating Imaging and Computation |

Stroppel, C | Tensor products and branching - changes of perspective |

Sturmfels, B | Linear PDE with Constant Coefficients |

#### The morning speakers were:

Buzzard, K | When will computers prove theorems? |

Carrillo, J | Nonlocal Aggregation-Diffusion Equations: entropies, gradient flows, phase transitions and applications |

Gross, M | Intrinsic Mirror Symmetry |

Harrington, H | Algebraic Systems Biology |

Keating, J | Random Matrix Theory, Integrable Systems, and Discrete Probability |

Keating, A | An invitation to symplectic mapping class groups |

Kim, M | Recent Progress on Diophantine Equations in Two Variables |

Kuhn, D | Proof of the Erdos-Faber-Lovasz conjecture |

Li, X | Interactions between C*-algebras, topological dynamics and group theory |

Maciocia, A | An Update on Moduli of Sheaves and Bridgeland Stability Conditions |

Rand, D | Geometry, information and genetics |

Roney-Dougal, C | Finite simple groups and computational complexity |

Schroers, B | The hidden geometry of magnetic skyrmions |

Singer, M | Brilliant Corners |

Wahl, N | Strings in manifolds |

Wickramasekera, N | Allen-Cahn equation and the existence of prescribed-mean-curvature hypersurfaces in Riemannian manifolds |

#### Public lecture

Duchin, M | How we divide ourselves up to vote and why it matters |

#### Algebra and Representation Theory workshop

Sierra, S | Poisson geometry of the Virasoro algebra |

Stanciu, I | Primitive ideals in the affinoid enveloping algebra of a semisimple Lie algebra |

Stroppel, C | Verlinde rings and DAHA actions |

Sutton, L | Decomposable specht modules |

Topley, L | Finite W-algebras and the orbit method |

Tubbenhauer, D | 2-representation theory of soergel bimodules |

#### Algebraic Geometry workshop

Davison, B | Refined invariants of flopping curves |

Fatighenti, E | Fano varieties from homogeneous vector bundles |

Maclagan, D | Toric Bertini Theorems and Higher connectivity of Tropical Varieties |

Ranganathan, D | 4/2 ways of counting curves in a pair |

Rizzardo, A | New examples of non-Fourier-Mukai functors |

Garrel, M | Stable maps to Looijenga pairs |

#### Analysis workshop

Franz, G | Free boundary minimal surfaces with connected boundary and arbitrary genus in the unit ball |

Hanisch, F | Relative Traces in Obstacle scattering |

Hiesmayr, F | Asymptotics of two-valued minimal graphs |

Litzinger, F | Optimal regularity for Pfaffian systems and the fundamental theorem of surface theory |

Mäder-Baumdicker, E | The Morse Index of Willmore spheres |

McLeod, A | Pyramid Ricci Flow |

#### Combinatorics workshop

Dabrowski, K | Well-Quasi-Orderability on Graphs |

Kirsch, R | Universal partial words |

Nixon, A | Graph rigidity and flexible circuits |

#### Groups workshop

Chamberlain, R | Minimal Permutation Representations of Finite groups |

Evetts, A | Growth and equations in virtually abelian groups |

Gupta, R | Non-uniquely ergodic arational trees in the boundary of Outer space |

Khalid, N | An infinite geometric presentation for Thompson's group F |

Logan, A | Equalisers of free group homomorphisms and Post's correspondence problem |

Smith, S | Local to global behaviour of groups acting on trees |

Tracey, G | Invariable generation and the Chebotarev invariant of a finite group |

#### Mathematical Physics workshop

Casati, M | Discrete Poisson Cohomology |

Doikou, A | Set theoretic Yang-Baxter equation, braces and quantum groups |

Eckhardt, J | The peakon resolution conjecture for the conservative Camassa-Holm flow |

Halburd, R | Finding exact special solutions to non-integrable equations |

Hallnäs, M | Soliton scattering in the hyperbolic relativistic Calogero-Moser system |

Hone, A | Heron triangles with two rational medians and somos-5 sequences |

Kouloukas, T | Cluster maps associated with discrete KdV equation |

Lombardo, S | Integrability and plane wave instabilities: an algebraic-geometric approach |

#### Number Theory workshop

Coppola, N | Wild Galois representations of hyperelliptic curves |

Leonhardt, M | Plectic Galois action on Hilbert modular varieties |

Loughran, D | Probabilistic Arithmetic Geometry |

Macedo, A | Local-global principles for norms |

Siksek, S | Efficient resolution of Thue-Mahler equations |

Sofos, E | Prime values of integer polynomials and random Diophantine equations |

Sutherland, A | Stronger arithmetic equivalence |

Wiersema, H | On a BsD-type formula for L-values of Artin twists of elliptic curves |

#### Operator Algebras workshop

Bönicke, C | Dynamic asymptotic dimension and groupoid homology |

Choi, Y | Completely almost periodic elements of group von Neumann algebras |

Daws, M | An introduction to (quantum) symmetries of (quantum) graphs |

Goffeng, M | Exotic examples in Fell algebras |

Ramagge, J | What can an algebraist bring to operator theory? |

Schmidt, S | On the quantum symmetry of distance-transitive graphs |

Vdovina, A | Buildings, C*-algebras and new higher-dimensional analogues of the Thompson groups |

Xia, R | Non-commutative Hilbert transforms and Cotlar-type identities |

Yamashita, M | Homology and K-theory of torsion free ample groupoids |

#### Topology workshop

Anghel, C | Coloured Jones and Alexander polynomials unified through Lagrangian intersections in configuration spaces |

Balchin, S | Equivariant homotopy commutativity and the Catalan numbers |

Barbensi, A | A topological selection of knot folding pathways from native states |

Celoria, D | A discrete Morse perspective on knot projections |

Evans, J | Contact and symplectic geometry of compound Du Val singularities |

Linton, A | Massey products in moment-angle complexes |

Manolescu, C | Relative genus bounds in indefinite four-manifolds |

Prigge, N | Embedding calculus and automorphisms of manifolds |

Schuetz, D | A scanning Algorithm for Odd Khovanov Homology |

Sivek, S | Framed instanton homology and Dehn surgery |

Stevenson, G | Points of cochains on BG and their tangent vectors |

Wu, A | Weinstein handlebodies for complements of smoother toric divisors |