Program
| 5/10 (Thu.) | |||
| 13:30 -- 14:30 | Aaron Lauda | (Columbia) | Jones polynomial and its extension to tangles |
| 15:00 -- 16:30 | Dror Bar-Natan | (Toronto) | Overview of Khovanov Homology |
| 5/11 (Fri.) | |||
| 10:00 -- 12:00 | Aaron Lauda | A homological invariant of tangles and tangle cobordisms | |
| (with break) | |||
| 14:00 -- 15:00 | Dror Bar-Natan | Overview of Khovanov Homology, II | |
| 15:30 -- 16:30 | Aaron Lauda |
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| 5/14 (Mon.) | |||
| 9:30 -- 10:30 | Scott Morrison | (Berkeley) | An introduction to Khovanov homology |
| 11:00 -- 12:00 | Lev Rozansky | (North Carolina) | An introduction to matrix factorizations |
| 13:30 -- 14:30 | Ciprian Manolescu | (Columbia) | Knot Floer homology I |
| 15:00 -- 16:00 | Sergei Gukov | (Caltech) | Link Homologies and Open Gromov-Witten Invariants |
| 5/15 (Tue.) | |||
| 9:30 -- 10:30 | Scott Morrison | More about Khovanov homology: genus bounds and spectral sequences the easy way | |
| 11:00 -- 12:00 | Lev Rozansky |
Categorification of the | |
| 13:30 -- 14:30 | Ciprian Manolescu | Knot Floer homology II | |
| 15:00 -- 16:00 | Sergei Gukov | Gauge Theory and Categorification | |
| 16:30 -- 17:30 | Marko Stosic | (Inst. Super. T\'ec.) | Homology of torus knots and links |
| 5/16 (Wed.) | |||
| 9:30 -- 10:30 | Joel Kamnitzer | (Berkeley) | Knot homology via derived categories of coherent sheaves: motivation and geometric setup |
| 11:00 -- 12:00 | Raphael Rouquier | (Oxford) |
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| 13:30 -- 14:30 | Catharina Stroppel | (Glasgow) | An introduction into representation theory of Lie algebras |
| 15:00 -- 16:00 | Marco MacKaay | (Algarve) | Towards an |
| 16:30 -- 17:30 | Alexander Shumakovitch | (Washington) |
Naive Categorification of the Skein |
| 5/17 (Thu.) | |||
| 9:30 -- 10:30 | Sabin Cautis | (Harvard) | Knot homology via derived categories of coherent sheaves: spherical twists and relation to Khovanov homology |
| 11:00 -- 12:00 | Raphael Rouquier | Higher representation theory | |
| 13:30 -- 14:30 | Catharina Stroppel |
Khovanov's algebra | |
| 15:00 -- 16:00 | Joshua Sussan | (Yale) |
Category |
| 5/18 (Fri.) | |||
| 9:30 -- 10:30 | Dror Bar-Natan | The Virtues of Being an Isomorphism , Abstract | |
| 11:00 -- 12:00 | Lev Rozansky |
Categorification of the | |
| 13:30 -- 14:30 | Peter Ozsvath | (Columbia) | Knot Floer homology III |
| 14:45 -- 15:45 | Ciprian Manolescu | Knot Floer homology IV | |
Third Week (at Fac.of Science Bldg.No.3)
| 5/21 (Mon.) | |||
| 10:30 -- 11:30 | Susumu Ariki | (RIMS) |
Integrable |
| 13:30 -- 14:30 | Peter Ozsvath | Knot Floer homology V | |
| 15:00 -- 16:00 | Kokoro Tanaka | (Gakushuin) | Khovanov-Jacobsson numbers of surface-knots and their extension |
| 5/22 (Tue.) | |||
| 9:30 -- 10:30 | Catharina Stroppel | Invariants of tangles and Cobordisms: From Jones to Kauffman and BMW | |
| 11:00 -- 12:00 | Yasuyoshi Yonezawa | (Nagoya) | Matrix factorizations and planar diagrams in MOY link invariant |
| (Big lunch break !) | |||
| 15:00 -- 16:00 | Peter Ozsvath | Knot Floer homology VI | |
| 16:30 -- 17:00 | Radmila Sazdanovic | (George Washington) | Torsion in Chromatic Graph Cohomology |
| 5/23 (Wed.) | |||
| 9:30 -- 10:30 | Joel Kamnitzer | The affine Grassmannian and the geometric Satake correspondence I | |
| 11:00 -- 12:00 | Scott Morrison | Functoriality and duality in Khovanov homology | |
| (free afternoon) | |||
| Mikhail Kapranov (Yale) give a colloquium talk at 14:40 at RIMS 402 | |||
| 5/24 (Thu.) | |||
| 9:30 -- 10:30 | Joel Kamnitzer | The affine Grassmannian and the geometric Satake correspondence II | |
| 11:00 -- 12:00 | Stephan Wehrli | (Columbia) |
Mutation invariance of Khovanov homology over |
Abstract of Dror Bar-Natan's talk:
I'm over forty, I'm a full professor, and it's time that I come out of the closet. I don't understand quantum groups and I never did. I wish I could tell you in my talk about one of the major stumbling blocks I have encountered - I don't understand the amazing Etingof-Kazhdan work on quantization of Lie bialgebras. But hey, I can't tell you about what I don't understand! So instead, I will tell you about how I hope to understand the Etingof-Kazhdan work, one day, as an isomorphism between a topologically defined space and a combinatorially defined one. The former would be the unipotent completion of a certain algebra of virtually-knotted (trivalent?) graphs. The latter would be the associated graded space of the former.
I'll start and spend a good chunk of my time with an old but not well known analogy, telling you why a Drinfel'd associator, the embodiment of the spirits of all quasi-Hopf algebras, is best viewed as an isomorphism between the unipotent completion of the algebra of honestly-knotted trivalent graphs and its associated graded space, a certain combinatorially-defined algebra of chord diagrams. A few words will follow, about the relationship between diagrammatic Lie bialgebras and finite type invariants of virtual knots.
Contact H.~Nakajima (nakajima@math.kyoto-u.ac.jp) for any question.