The conference will take place on the Texas A&M University campus. On Wednesday, April 30, Thursday, May 1, and Friday, May 2, the conference will take place in the Blocker Building, Room 166. On Saturday, May 3, the conference will instead take place next door in the Mitchell Physics Building, Room 205.

Program

Wednesday, April 30 (Blocker 166)

8:30–8:50 | Registration and coffee |

8:50–9:00 | Welcome from Emil Straube, Department Head |

9:00–9:50 | Ron Douglas Arveson's conjecture and the Grothendieck–Riemann–Roch theorem |

10:00–10:50 | Paula Tretkoff An ε-knowledge introduction to some basic objects of commutative and noncommutative number theory |

10:50–11:20 | Coffee break |

11:20–12:10 | Rufus Willett
Expanders, exactness, and exotic completions |

12:10–2:00 | Lunch |

2:00–2:50 | Michel Hilsum Invariance of the Godbillon–Vey map by absolutely continuous homeomorphisms |

3:00–3:50 | Markus Pflaum Whitney functions and the real homotopy type of a semi-analytic set |

3:50–4:20 | Coffee break |

4:20–5:10 | Dennis Sullivan Departmental Colloquium: Numerical algorithms for ideal 3D fluid motion based on algebraic topology |

5:20–6:10 | Farzad Fathizadeh Scalar curvature, the Gauss–Bonnet theorem and the Einstein–Hilbert action for noncommutative tori |

Thursday, May 1 (Blocker 166)

8:30–9:00 | Registration and coffee |

9:00–9:50 | Jonathan Rosenberg Levi-Civita connections for noncommutative tori |

10:00–10:50 | Jean Bellissard Computational noncommutative geometry: the work of Emil Prodan |

10:50–11:20 | Coffee break |

11:20–12:10 | Xiang Tang A higher index theorem for proper cocompact actions |

12:10–2:00 | Lunch |

2:00–2:50 | Dan Freed Differential K-theory and Dirac operators |

3:00–3:50 | Alexander Gorokhovsky Higher analytic indices and a symbolic index pairing |

3:50–4:20 | Coffee break |

4:20–5:10 | Bahram Rangipour Lie–Hopf algebras and their Hopf cyclic cohomology |

5:20–6:10 | Raphaël Ponge Noncommutative geometry and conformal geometry |

Friday, May 2 (Blocker 166)

8:30–9:00 | Registration and coffee |

9:00–9:50 | Alain Connes Foiaş Lecture Series I: Noncommutative geometry from its origins to its implications in physics |

10:00–10:50 | Henri Moscovici Hopf cyclic cohomology and characteristic classes |

10:50–11:20 | Coffee break |

11:20–12:10 | Caterina Consani The universal thickening of real and complex numbers: towards an archimedean analogue of Fontaine's theory |

12:10–2:00 | Lunch |

2:00–2:50 | Nigel Higson The noncommutative geometry of tempered representations |

3:00–3:50 | Sherry Gong The finite part of operator K-theory and traces on reduced C*-algebras for groups with rapid decay |

3:50–4:20 | Coffee break |

4:20–5:10 | Alain Connes Foiaş Lecture Series II: The music of shapes (public lecture) |

6:30– | Banquet at Madden's Casual Gourmet, Bryan, TX [Map] |

Saturday, May 3 (Mitchell Physics 205)

8:30–9:00 | Registration and coffee |

9:00–9:50 | Alain Connes Foiaş Lecture Series III: Noncommutative geometry and number theory |

10:00–10:50 | Masoud Khalkhali On the spectral action principle for Robertson–Walker metrics |

10:50–11:20 | Coffee break |

11:20–12:10 | Paul Baum Expanders and K-theory for group C*-algebras |

12:10–2:00 | Lunch |

2:00–2:50 | Michael R. Douglas A survey of string theory and noncommutative geometry |

3:00–3:50 | David Berenstein From matrices to hypersurfaces and beyond |

3:50–4:20 | Coffee break |

4:20–5:10 | Branimir Ćaćić Twisted group algebras and Connes–Landi deformation of spectral triples |

5:20–6:10 | Zhizhang Xie Higher rho invariants and the moduli space of positive scalar curvature metrics |