International conference “Invariance and Integrability ‘2″,
devoted to the 60th birthday of Andrei Marshakov,
is organized by
- International Laboratory of Cluster Geometry, HSE University,
- Igor Krichever Center of Advanced Studies, Skoltech
- HSE–Skoltech International Laboratory of Representation Theory and Mathematical Physics
on September 5-9, 2024.
The conference will be held in a mixed format: there will be in person talks as well as online talks.
The conference will cover modern trends of research performed in International Laboratory of Cluster Geometry, HSE University in the framework of the project “Combinatorial aspects of geometry of functional spaces”,
as well as other topics close to scientific interests of Andrei Marshakov.
In particular, these include
- topological recursion,
- combinatorics of cluster algebras,
- intersection theory and flat connections on moduli spaces,
- Lie algebras and their representations,
- quantum invariants of knots and links,
- Hurwitz numbers,
- integrability
PROGRAMME
| September 5 // Thursday | ||
| 09:15-09:30 | Opening | |
| 09:30-10:30 | A. Ilin | Moduli space of cactus flower curves and Gaudin models |
| 10:40-11:40 | S. Derkachev | Reflection operator and iterative construction of eigenfunctions for noncompact SL(2,C) open spin chains |
| 12:10-13:10 | A. Gorsky | Matsuo-Cherednik duality and truncation of the Calogero eigenfunctions (online) |
| 15:00-16:00 | V. Fok | Group cocycles and clusters (online) |
| 16:30-17:30 | A. Basalaev | Integrable systems associated to rational Hurwitz-Frobenius manifolds |
| 17:40-18:40 | A. Buryak | Deformation of Dubrovin’s formula for a compatible pair of Poisson brackets of hydrodynamic type |
| September 6 // Friday | ||
| 09:30-10:30 | A. Skripchenko | How to generalize interval exchange transformations? |
| 10:40-11:40 | V. Roubtsov | Higher Bessel functions. From periods to combinatorics |
| 12:10-13:10 | M. Bershtein | Cluster Reductions, Mutations, and q-Painlevé Equations (online) |
| 15:00-16:00 | A. Zotov | Relativistic interacting tops at classical and quantum levels and related q-deformed long-range spin chains (online) |
| 16:30-17:30 | P. Zograf | Asymptotics of intersection numbers on moduli spaces of curves |
| 17:40-18:40 | A. Yung | Flowing between string vacua for the critical non-Abelian vortex with deformation of N = 2 Liouville theory |
| September 7 // Saturday | ||
| 09:30-10:30 | A. Orlov | Instanton sum of Fateev-Frolov-Schwartz as a tau function. Massive fermions |
| 10:40-11:40 | A. Zabrodin | Multicomponent DKP hierarchy and its dispersionless limit |
| 12:10-13:10 | G. Helminck | Connecting KP and strict KP with their discrete versions (online) |
| 15:00-16:00 | V. Kazakov | Structure constants of huge 1/2-BPS operators of N=4 SYM: matrix model and Riemann-Hopf fluid dynamics (online) |
| 16:30-17:30 | A. Semenov | Слипание инстантонов и эффект влечения в джозефсоновских контактах |
| 17:40-18:40 | V. Prokofev | Large BKP, B-Toda, coupled KP hierarchies different approaches |
| September 8 // Sunday | ||
| 09:30-10:30 | G. Panina | Diagonal complexes |
| 10:40-11:40 | A. Sleptsov | Vogel’s algebra, kernel of sl_N weight system and implications for knot invariants |
| 12:10-13:10 | P. Wiegmann | Multivalued Novikov’s functional in fluid mechanics (online) |
| 15:00-16:00 | N. Nekrasov | Krichever tau function and affine type gauge theories |
| 16:30-17:30 | A. Popolitov | Superintegrability of (q,t)-deformed matrix models in the framework of DIM algebra |
| 17:40-18:40 | D. Bykov | The deformed CP1 sigma model in Gross-Neveu formalism |
| September 9 // Monday | ||
| 09:30-10:30 | P. Dunin-Barkowski | Symplectic duality and logarithmic topological recursion |
| 10:40-11:40 | B. Bychkov | KP integrability in topological recursion |
| 12:10-13:10 | S. Khoroshkin | Ruijsenaars system: symmetries and spectral transform (online) |
| 15:00-16:00 | H. Braden | Some new applications of affine Toda Theory (online) |
| 16:30-17:30 | M. Nenasheva | Isoperiodic foliation on the space of meromorphic real-normalized differentials |
| 17:40-18:40 | V. Bolbachan | Goncharov’s conjecture and higher Chow groups |
Official conference site