
Explore quantisation of moduli spaces through combinatorial methods and BV structures, focusing on flat connections in mathematical physics.

Explore the Heun connection matrix, Liouville conormal blocks, and Darboux theorem in the context of quantizing moduli spaces.

Explore the Emergent String Conjecture in quantum gravity, its origins, implications, and recent developments in theoretical physics and string theory.

Delve into advanced mathematical concepts of local systems and Galois representations, exploring construction methods and parameter spaces in Betti, deRham, and l-adic settings.

Delve into advanced algebraic geometry as Matthew Emerton explores G-L trace formula for Bun_G, providing a detailed proof of Conjecture 8 from Lurie's earlier lectures.

Delve into advanced Teichmuller dynamics, exploring SL_2(R) actions on moduli spaces and the critical exponent properties of stabilizer subgroups in relation to lattice structures.

Explore quantum symmetry through moduli spaces of flat G-bundles, examining cluster Poisson structures and their quantization to uncover connections with quantum groups and representations.

Explore generalised T-dualities in string theory, focusing on type I' and IIA duality, SYZ interpretation of mirror symmetry, and geometric duals of strong-coupling phenomena.

Explore moduli spaces of flat connections, BV formalism, and Goldman-Turaev Lie bialgebra in this advanced mathematical physics seminar.

Delve into advanced mathematical concepts exploring matroid theory, F1-geometry, and tropical schemes, focusing on Baker-Bowler's theory and its applications to Grassmannians and representation theory.

Explore the intricate relationship between equivariant cohomology theories of instanton moduli spaces and integrable systems, focusing on Calogero-Moser, Ruijsennars-Schneider, and DELL systems.

Delve into advanced mathematical concepts exploring Hopf algebras and their role in cohomology of A_g, examining fundamental relationships in algebraic geometry and combinatorial physics.

Delve into advanced quantum field theory applications for analyzing moduli space cohomology, exploring mathematical connections between combinatorics and fundamental physics principles.