WORKSHOP ON GEOMETRIC METHODS IN MATHEMATICAL PHYSICS

[Ugo Bruzzo]

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WORKSHOP ON GEOMETRIC METHODS IN MATHEMATICAL PHYSICS
A meeting of the Italian-Russian Einstein project
SISSA, June 30 - July 5, 2008
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All lectures in Room D


Monday, June 30

Morning Session,  Nonlinear algebra

10:00 Opening
10:15 V. Dolotin, The subject of non-linear algebra
11:00 An. Morozov, On the notion of Universal Mandelbrot set
11:30 Break
12:00 M. Serbyn, Connes-Kreimer theory and non-linear algebra
12:45 Sh. Shakirov, Explicit formulas for resultants and discriminants
13:30 Break

14:30 Mathematical Physics Sector Colloquium:
            A. Morozov, Old and new symmetries

Afternoon Session

16:30 T. Mironova, Negative colors and color-vision calculus
17:15 M.Serbyn TBA
18:00

Tuesday, July 1st

Morning session,  Strings and gauge fields (I)

9:30 Andrea Brini,  Exact results for topological strings on resolved  
Yp,q singularities
10:15 U. Bruzzo, Metrics on Higgs bundles on Kaehler manifolds
11:00 Break
11:30 M. Kneipp, TBA
12:15 A. A. Henni, Stratification of moduli spaces of framed sheaves  
on the blowup of P2
13:00 Break

Afternoon Session,  Applications of Riemann surfaces

14:30 D. Vasiliev, Nonplanar contributions to matrix model free energy
15:00 A. Sleptsov TBA
15:30 N. Amburg, Homologies of moduli space of real curves of genus  
zero with n marked points
16:00 Break
16:30 A. Marshakov TBA
17:15 P. Putrov, Graphs and partitions,  from branes to Seiberg- 
Witten theory
18:00

Wednesay, July 2nd

Morning session,  Strings and gauge fields (II)

9:30 Houman Safaai,  On gauge/string correspondence and mirror symmetry
10:15 A. Magni, Perelman's Dilaton
11:00 Break
11:30 V. Alba, On the BLG approach to M2-branes
12:15 A. Alexandrov, Myers action for D-branes
13:00 Break

Afternoon Session,  Radiation and Gravity (I)

14:30 A. Mironov, TeV scale gravity and LHC,  from mini black holes  
and time machines to gravity radiation
15:15 D. Galakhov, Radiation friction in higher dimensions
16:00 Break
16:30 Ph. Burda, Approaches to the Unruh effect
17:15 S. Apenko, On $\theta$-term renormalization
18:00

Friday, July 4th

Morning session,  Integrable Systems

9:30 M. Olshanetsky, Duality equations and integrable systems
10:15 M. Bertola,  Random matrices, moment determinants and  
isomonodromic tau functions.
11:00 Break
11:30 M. Cafasso, Matrix biorthogonal polynomials on the unit circle
                                  and non-abelian Ablowitz-Ladik  
hierarchy.
12:15 G. Ortenzi, TBA
13:00 Break

Afternoon session,  Quantum theory

14:30 An. Morozov, Quasiclassical states and quantum mechanics
15:00 P. Dunin-Brakowski, Peculiarities of higher derivative world- 
line particle actions
15:30 P. Putrov, Subtleties of instanton calculus
16:00 Break
16:30 A. Anokhina, Resultants as determinants of complexes
17:00 Yu. Chernyakov, Examples of 3-ary equations
17:30 Sh. Shakirov, Higher nilpotents and $A^n_\infty$-structures
18:00

Saturday, July 5th

Morning Session

Integrable Systems (II)

9:30 D. Markushevich, Integrable systems associated to K3-fano flags
10:15 S. Kharchev, q-deformed Toda chain and representation theory of  
quantum groups
11:00 Break
11:30 V. Poberezhny, Riemann-Hilbert problem and isomonodromic  
deformations
12:00 A. Zotov, Tops and the Painleve equation
12:30 Yu. Chernyakov, Quadratic algebras and elliptic curves
13:00 Break

Afternoon session

Quantum theory (II)

14:30 A. Vlasov, Dynamical systems and gravitational collapse
15:15 A. Sleptsov,  Geometric Hamiltonian formalism for  
reparametrization invariant theories with higher derivatives
16:00 Break
16:30 A. Mironov, Present status of the Alday-Maldacena duality
17:00 A. Popolitov, Alday-Maldacena approach,  $\sigma$-model vs.  
Nambu-Goto
17:30 D. Galakhov, M. Serbyn, A. Sadofiev, AdS minimal areas for wavy  
lines and circles
  18:00