International Workshop "Interactions with Algebraic Geometry" Firenze, May 31 - June 2 Schedule Thursday, May 31 , Lecture room 120, Dipartimento di Matematica Applicata, via S. Marta 3 14.30 Opening session 15.00-15.50 Claudio Procesi 'Some algebra and geometry around box-splines' 16.00-16.30 Coffee break 16.30-17.20 Dmitrii Orlov TBA 17:30-18.20 Ludmil Katzarkov 'Homological Mirror Symmetry and algebraic cycles' Friday, June 1 , Lecture room 120, Dipartimento di Matematica Applicata, via S. Marta 3 9.30-10.20 Carlos Simpson 'A weight 2 property for monodromy at infinity' 10.30-11.00 Coffee break 11:00-11.50 Ugo Bruzzo 'Numerically effective and semistable Higgs bundles on Kahler manifolds' 12.00-12.50 Tony Pantev ' *-quantizations of Fourier-Mukai transforms ' Lunch 14.30-15.20 Vincent Lafforgue 'On the geometric Langlands correspondence on the projective line' 15.30-16.20 Jaroslaw Wisniewski 'Towards a moduli of algebraic models of phylogenetic trees' 16.30-17.00 Coffee break 17.00-17.50 Fabrizio Andreatta 'Fontaine's crystalline conjecture revisited' Social Dinner at Ristorante ''I 4 leoni '', Piazza della Passera Saturday, June 2, Dipartimento di Matematica, viale Morgagni 67/A 9.30-10.20 Boris Dubrovin 'On deformations of integrable hierarchies' 10.30-11.00 Coffee break 11:00-11.50 Bertrand Toen 'Loop spaces, Chern character and derived algebraic geometry' 12.00-12.50 Angelo Vistoli 'Essential dimension and algebraic stacks'