# Hidden Algebraic Structures in Topology

The meeting will focus on algebraic structures that make a surprising appearance in various problems of quantum topology, especially the ones where such structures are not a priori expected. This includes unexpected appearance of logarithmic VOAs and non-semisimple MTCs in the study of 3-manifold and 4-manifold invariants. In a parallel line of developments, ideas from derived algebraic geometry are making their way into low dimensional topology, for example through the development of sheaf-theoretic models for SL(2,C) Floer homology. This should be related to skein modules for 3-manifolds, which in turn played a role in various extensions of Khovanov homology.

## Schedule

**California Institute of Technology, 310 Linde HallMarch 14 - 16, 2019**

###### Pre-workshop Talks

### Tuesday, March 12, 2019

4:00 pm - 5:00 pm | Mathematics Colloquium by Jorgen Andersen (Department of Mathematics - Centre for Quantum Geometry of Moduli Spaces, Aarhus University) Linde Hall 310 |

### Wednesday, March 13, 2019

12:00 pm - ... | lunch, Downs-Lauritsen Hall 469 |

12:30 pm - 1:30 pm | Geometry and Physics seminar by Sarah HarrisonDowns-Lauritsen Hall 469 |

1:30 pm - 2:00 pm | Coffee Break |

2:00 pm - 3:00 pm | Geometry and Physics seminar by Yuuji TanakaDowns-Lauritsen Hall 469 |

The workshop will start on March 14 in the morning and end on March 16 in the early afternoon. All talks will be in 310 Linde Hall.

### Thursday, March 14, 2019

9:00 - 10:00 | Sikora |

10:00 - 10:30 | Coffee Break |

10:30 -11:30 | Gabrovsek |

11:30 -1pm | lunch |

1:00 - 2:00 | Rouquier |

2:00 - 2:30 | Coffee Break |

2:30 - 3:30 | Cote |

3:30 - 4:30 | coffee break |

4:30 - 6:00 | Discussion Session 1 (run by Przytycki and Le) |

### Friday, March 15, 2019

9:00 - 10:00 | Feigin |

10:00 - 10:30 | Coffee Break |

10:30 -11:30 | Wedrich |

11:30 -1pm | lunch |

1:00 - 2:00 | Meinhardt |

2:00 - 2:30 | Coffee Break |

2:30 - 3:30 | Ferrari |

3:30 - 4:30 | coffee break |

4:30 - 6:00 | Discussion Session 2 (run by Gorsky, Oblomkov, and Shende) |

### Saturday, March 16, 2019

9:00 - 10:00 | Pei |

10:00 - 10:30 | Coffee Break |

10:30 -11:30 | Lauda |

11:30 -1pm | lunch |

1:00 - 2:00 | Cherednik |

**Contacts**

**Administrator**

Carol Silberstein: carol@theory.caltech.edu

**Organizers**

Sergei Gukov: gukov@theory.caltech.edu

Ciprian Manolescu: cm@math.ucla.edu

Mykola Dedushenko: dedush@caltech.edu