| Bouwknegt: | | | Lascoux:
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| --Introduction to the Geometric Langlands Program: | | | --Newton's divided differences,
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| 1. Hecke algebras and convolution algebras, | | | --Polynomials in several variables,
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| 2. Classical Satake correspondence, | | | --Schubert, Grothendieck an Macdonald polynomials,
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| 3. Geometric Satake correspondence. | | | --Kazhdan-Lusztig theory.
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| Kashaev: | | | Sergeev:
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| --Quantum Teichmueller spaces, | | | --Quantum 3D integrable systems,
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| --Mapping class groups, | | | --Classical limit,
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| --Pentagon equation, | | | --Geometric Integrability.
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| --Hopf algebras,
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| --Quantum hyperbolic state sum invariants,
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| --Colored Jones polynomials,
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| --Hyperbolic volume conjecture.
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| Kricker: | | | Zinn-Justin:
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| --Finite type invariants and the Kontsevich Integral, | | | --basics of equivariant cohomology/multidegrees
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| --The LMO invariant of 3-manifolds, | | | --basics of exactly solvable models and Yang-Baxter relation,
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| --Clasper theory, | | | --relation between the 2 points above:
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| --Consequences of the LMO invariant for the | | | 1. matrix Schubert varieties,
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| Kontsevich integral of knots: | | | 2. orbital varieties,
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| 1. the loop expansion, | | | 3. Brauer loop scheme.
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| 2. the Alexander polynomial,
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| 3. rationality,
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| 4. the 2-loop polynomial,
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| 5. cyclic branched covers,
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| --The Kontsevich integral of a boundary link.
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