Lecture Note Summary Author / Title / Date/Pages ****************************************** Harvard seminars 1994-95: A.Szenes. Riemann-Roch for moduli of vector bundles on a Riemann surface. 9/94 1p. S.Donaldson. Floer homology and moduli spaces I. 9/94 2p. S.Donaldson. Moduli spaces II. 2p. S.Donaldson. Lecture III - symplectic submanifolds. 1p. J.Harris. How many points are on a curve? 1p. J.Bernstein. On recent results of Beilinson-Drinfeld. 2p. Y.-T.Siu. Hyperbolicity problems in function theory. 2p. J.-P.Serre. Sheaf theory. 2p. S.Theisen. Mirror symmetry and duality in string theory. 1p. G.Lusztig. Perverse sheaves. 2p. G.Lusztig. Perverse sheaves II. 1p. J.Tate. L-series. 10/28/94 1p. T.Pantev. A Torelli theorem for nonabelian Hodge theory. 10/25 2p. J.Conway. Symmetries of lattices and polyhedra. 10/27 1p. S.Doplicher. Quantum spacetime at the Planck scale and QFT. 11/1 1p. C.Taubes. Witten's magical equation. 11/2 2p. M.Kapranov. Equivariant elliptic cohomology. 11/7 2p. C.Taubes. Witten's magical equation II. 11/9 1p. W.Li. Floer homology. 11/10 1p. M.Nakamaye. Vojta's conjecture. 11/15 2p. C.Kassel. Categories for the Yang-Baxter equation. 11/15 2p. R.Cohen. Stabilizing moduli spaces of instantons. 11/17 1p. R.Cohen. Graph moduli spaces and cohomology operations. 11/18 2p. V.Ginzburg. Quantum groups, Langlands reciprocity and elliptic surfaces. 11/28 3p. E.Getzler. A Fourier transform for symmetric functions. 11/30 2p. A.Wiles. Modular elliptic curves and FLT. 12/5 2p. M.Kontsevich. Geometry of noncommutative deformations. 12/6 3p. J.Kollar. Projectivity of complete moduli. 12/8 2p. J.Kollar. Gluing rational curves. 12/8 2p. E.Getzler. The operads of quantum cohomology. 12/12 2p. M.Kontsevich. Triangulated categories in symplectic topology. 12/13. 2p. R.Bott. deRham theory and embedding problems. 2/27 2p. M.Thaddeus. Lectures on GIT quotients. 2/28 2p. A.Pandya. Reciprocity laws. 3/17 1p. B.Mazur. Three-Manifolds. 3/20 1p. E.Getzler. Poincare polynomials. 4/11 2p. E.Frenkel. Center of quantum affine algebras and q-deformations of Virasoro. 4/28 3p. M.Hopkins. Topological modular forms and the theorem of the cube. 5/1 3p. A.Radul. Quantum cohomology and representation theory. 5/4 3p. I.Madsen. Calculations in algebraic K-theory. 5/6 2p. I.Frenkel. Elliptic solutions of Yang-Baxter and modular hypergeometric functions. 5/11 3p. T.Khovanova. Drinfeld-Sokolov reduction. 5/14 2p. ****************************************** Santa Cruz AMS Summer Institute on Algebraic Geometry, July 9-29 1995: (Plenary lecture series by Witten, Kollar, Demailly, Bloch and Soule were accompanied by photocopied lecture notes.) E.Witten. Duality in supersymmetric gauge theory I. 7/10 2p. C.Simpson. Hodge theory and fundamental groups I. 7/10 2p. M.Green. What comes after the Abel-Jacobi map? 7/10 2p. R.Hain. Hodge theory and mapping class groups. 7/10 3p. D.Toledo. Non-residually-finite fundamental groups. 7/10 2p. E.Witten. Part II. 7/11 1p. C.Simpson. Part II. 7/11 3p. M.Ramachandran. Subvarieties, local systems and harmonic maps. 7/11 2p. A.Kaplan. Hodge cycles at infinity. 7/11 1p. Y.Hu. Relative GIT and universal moduli spaces. 7/11 1p. D.Morrison. Black holes and string theory. 7/11 2p. E.Witten. Part III. 7/12 1p. C.Simpson. Part III. 7/12 3p. C.LeBrun. Twistors and anti-self-duality. 7/12 2p. E.Witten. Part IV. 7/13 2p. C.Simpson. Part IV. 7/13 3p. C.LeBrun. On the frontiers of Kahler geometry. 7/13 2p. P.Aspinwall. Quantum algebraic geometry and K3 surfaces. 7/13 2p. H.Esnault. Higher Chern classes of flat bundles in Deligne cohomology. 7/13 2p. J.Amoros. On nonfibered Kahler groups. 7/13 1p. E.Witten. Part V. 7/14 1p. C.Simpson. Part V. 7/14 4p. J.Rabin. Supercurves and their Jacobians. 7/14 4p. K.O'Grady. Moduli of stable bundles on surfaces. 7/14 2p. C.LeBrun. Classification problems and twistor spaces. 7/14 2p. J.Kollar. Higher Dimensional Geometry I. 7/17 1p. J.-P.Demailly. Hyperbolicity of projective algebraic varieties I. 7/17 3p. R.Donagi. Seiberg-Witten integrable systems. 7/17 3p. C.Ciliberto. On the bicanonical map for surfaces of general type. 7/17 1p. A.Bertram. Quantum Schubert calculus. 7/17 3p. V.Vinnikov. Commuting nonselfadjoint operators and algebraic curves. 7/17 2p. J.Kollar. Part II. 7/18 1p. J.-P.Demailly. Part II. 7/18 3p. W.Fulton. Enumerative geometry via quantum cohomology I. 7/18 2p. M.Pikaart. On the stable cohomology of M_g. 7/18 2p. E.Looijenga. Cohomology of moduli spaces of curves. 7/18 3p. R.Hain. C - C^-. 7/18 3p. J.-P.Demaily. Part III. 7/19 1p. J.-P.Demailly. Part IV. 7/20. 1p. B.Totaro. Cohomology of configuration spaces and Fulton-MacPherson compactification. 7/20 1p. S.Zucker. Hodge theory and spectres on locally symmetric varieties. 7/20 2p. R.Pandharipande. The canonical class on Kontsevich's moduli spaces. 7/20 2p. C.Bartocci. Fourier-Mukai transform and moduli of stable sheaves on K3. 7/20 2p. J.-P.Demailly. Part V. 7/21 1p. M.Thaddeus. Birational approximation of moduli spaces. 7/21 1p. N.Katz. Informal report on rigid local systems. 7/21 2p. A.Beauville. Recent progress on moduli of vector bundles on curves. 7/21 2p. A.Kabanov. H^2(M_g, Sp_2g(Z)). 7/21 2p. C.Soule. Hermitian vector bundles on arithmetic varieties I. 7/24 3p. S.Bloch. Motives and motivic cohomology. 7/24 3p. R.Kobayashi. Value distribution theory and algebraic geometry. 7/24 1p. R.Pink. Compactification of the moduli space of Drinfeld modules. 7/24 1p. A.Collino. Torelli for the infinitesimal invariant of C-C^- and K-theory. 7/24 1p. M.Grinberg. Why stratified Morse theory? 7/24 1p. C.Soule. Part II. 7/25 3p. S.Bloch. Part II. 7/25 1p. A.Nemethi. The mixed Hodge structure of an ICIS. 7/25 2p. M.Rapoport. p-adic period domains. 7/25 2p. M.Grinberg. Nearby cycles in linear algebra. 7/25 3p. J.Burgos Gil. Arithmetic K-theory and Beilinson regulators. 7/25 3p. M.Kapranov. A conjectural formalism for higher dimensional Langlands reciprocity. 7/25 5p. J.Bonsdorff. Algebraic Hodge degeneration theorem. 7/25 2p. C.Soule. Part III. 7/26 2p. H.Tamvakis. Arithmetic intersection theory. 7/26 1p. C.Soule. Part IV. 7/27 2p. J.de Jong. Dominating varieties by smooth varieties I. 7/27 3p. J.Nekovar. Syntomic cohomology, p-adic regulators and Chow groups. 7/27 1p. D.McLaughlin. Reciprocity. 7/27 3p. Y.Nisnevich. A generalization of Quillen's work and algebraic cycles. 7/27 1p. H.Gillet. Motives and the weight filtration on integral cohomology. 7/27 3p. C.Soule. Part V. 7/28 2p. J.de Jong. Part II. 7/28 2p. J.-L.Colliot-Thelene. Zero cycles on varieties over p-adic fields. 7/28 2p. M.Nori. Torsion and divisibility of algebraic cycles. 7/28 2p. V.Srinivas. Torsion zero-cycles on singular varieties. 7/28 3p. ************************************************** Harvard seminars 1995-96: V.Ginzburg. Affine quantum groups and Hecke algebra construction via residues at the diagonal. 9/27/95 2p. V.Ginzburg. Hecke algebra of a double loop group. 9/28/95 3p D.Kazhdan. Quantization of Lie bialgebras. 9/29 4p. A.Beilinson. Quantization of Hitchin hamiltonians and Hecke eigensheaves. 10/2. 6p. ****************************************** Northeastern meeting of the AMS, October 1995: R.Brown. On the dynamics of mapping classes on moduli spaces. 1p. M.Farber. Homological algebra of Novikov-Shubin invariants and Morse inequalities. 2p. S.Axelrod. Some results on Chern-Simons field theory. 1p. D.Freed. Geometry and quantum field theory. 2p. K.Corlette. Harmonic maps, harmonic forms and locally symmetric spaces. 3p. S.-T.Yau. Mirror symmetry and string theory. 1p. L.Jeffrey. Intersection numbers on the moduli of flat connections on a Riemann surface. 1p. F.Pedit. Isometric immersions and integrable systems. 1p. R.Silvotti. On a conjecture of Varchenko. 1p. W.Goldman. Ergodic theory on moduli spaces. 1p. A.Kirillov. Modular tensor categories and Macdonald's polynomials. 1p. T.Pantev. Motivic local systems on curves. 1p. E.Xia. Moduli of PGL_2(\Bbb R) on a Riemann surface. 1p. E.Stern. Quantum affine Weyl duality and q-deformed wedges for U_q(sl_n). 1p. (End of Northeastern meeting) ************************************** V.Voevodsky. The Bloch-Kato conjecture. 10/11 2p. A.Goncharov. Geometry of polylogarithms. 10/12 4p. W.Schmid. Constructible sheaves and characteristic cycles. 10/16 2p. E.Getzler. Quantum cohomology in genus one. 10/17 2p. J.-L.Brylinski. Reciprocity laws on algebraic varieties. 10/20 3p. J.-P.Serre. Finite Groups. 10/23 1p. *************************************** Conference in honor of Clifford Earle: Complex Analytic Aspects of Teichm\"{u}ller theory. November 3-5 1995, Smith college: I.Kra. Uniformization of special Riemann surfaces. 1p. S.Nag. The universal commenurability Teichm\"{u}ller space. 2p. M.Wolf. Minimal surfaces of least total curvatures. 2p. S.Wolpert. Quantum limits for hyperbolic surfaces. 1p. A.Marden. Beyond Teicm\"{u}ller space - differential equations, monodromy groups etc. 1p. R.Rodriguez. Decomposing Jacobians by group actions. 1p. W.Harvey. Families of Riemann surfaces. 1p. F.Gardiner. Teichm\"{u}ller spaces and asymptotic conformal equivalence. 1p. W.Abikoff. Adapted metrics for Kleinian groups. 1p. (End of Earle conference.) ***************************************** E.Witten. Duality on field theory and string theory. 11/6 2p. E.Witten. Duality in field theory and string theory II. 11/7 2p. E.Witten. Instantons and strings. 11/8 2p. F.Kirwan. Symplectic quotients and nonabelian localization. 12/5 1p. F.Kirwan. Symplectic quotients and nonabelian localization II. 12/6 2p. R.Borcherds. Automorphic forms on O(n,2). 12/7 3p. R.Borcherds. The fake monster Lie algebra. 12/8 3p. E.Previato. On the Hitchin system. 12/12 1p. G.Margulis. Quantitative Oppenheim conjecture. 12/14/96 1p. I.Cherednik. A new view of Sl_2(\Bbb Z). 2/7 2p. R.Donagi. Supersymmetric Yang-Mills and integrable systems. 2/8 2p. R.Dijkgraaf. Self dual fields and strings in six dimensions. 2/13 1p. E.Frenkel. Quantum W algebras. 3/1 4p. D.Gaitsgory. Geometric Langlands for Gl_2. 3/4/96 3p. M.Kashiwara. Fock reps of quantum affine algebras. 3/4/96 3p. D.Gaitsgory. Informal talk on geometric Langlands. 3/5 3p. D.Gaitsgory Continuation of informal Langlands. 3/6 3p. D.Gaitsgory. Geometric Langlands II: Eisenstein series. 3/6 2p. I.M.Gelfand. Problems in noncommutative geometry and algebra. 3/7 2p. B.Tsygan. Deformations of b-symplectic structures and Atiyah-Patodi-Singer. 3/8 5p. A.Beilinson. Chiral groups. 3/12 (notes by T. Pantev.) 18p. M.Kashiwara. Fock reps of quantum affine algebras II. 3/11 4p. N.Reshetikhin. Tensor reps of affine Lie algebras. 3/14 3p. M.Kashiwara. Finite dimensional reps of quantum affine algebras. 3/15 2p. A.Varchenko. q-KZ equations. 4/5 2p. K.Fan. Representations of quivers. 4/8 3p. D.Gieseker. The Toda and KdV hierarchies. 4/11 2p. A.Szenes. The cohomology of moduli spaces of vector bundles on a Riemann surface. 4/12 3p. A.Varchenko. Elliptic quantum groups. 4/15 4p. M.Kapranov. On quantum group-like structures related to automorphic forms. 4/16 5p. R.Borcherds. Monstrous algebras and automorphic forms. 4/21 3p. A.Varchenko. Elliptic quantum groups II. 4/22 3p. E.Frenkel. Geometric Langlands program. 4/22 2p. J.Harris. Deformations of tac-nodes. 4/23 1p. A.Beilinson. Chiral algebras and Hecke eigensheaves. 4/24 4p. A.Varchenko. Monodromy of the KZ difference equation. 4/25 2p. S.Weinberg. Changing views of renormalization. 4/29 3p. S.Weinberg. Antibrackets, symmetries and renormalization. 4/30 4p. S.Weinberg. Antibrackets II. 5/2 2p. M.Emerton. An introduction to Hida's theory. 5/1 1p. C.Vafa. String dualities. 5/1 1p. ******************************************* Journal of Differential Geometry anniversary conference. May 3-5: C.Taubes. Geometry of Seiberg-Witten equations. 2p. C.Vafa. Dualities in string theory. 3p. K.Uhlenbeck. Poisson structure of conservation laws. 3p. J.-M.Bismut. Families of immersions and higher analytic torsion. 3p. N.Hitchin. Integrable systems. 3p. E.Witten. Small instantons. 2p. J.-P.Otal. Thurston's hyperbolization theorem. 1p. P.Li. Function theory and curvature on Riemannian manifolds. 1p. N.Hitchin. Integrable systems II. 2p. D.Gabai. Three-manifolds. 2p. (End of JDG conference.) ********************************************