STAGE is a seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Meetings are held on

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If you are interested in giving one of the talks, please contact the organizers.

Spring 2019 topic: Unlikely intersections and o-minimality.

References to be followed:

- Scanlon, O-minimality as an approach to the André-Oort conjecture, Around the Zilber-Pink conjecture/Autour de la conjecture de Zilber-Pink, 111-165, Panor. Synthèses, 52, Soc. Math. France, Paris, 2017.
- Lang,
*Algebraic number theory, second edition*, Springer, 1994, Chapter XVI on the Brauer-Siegel theorem. - Tsimerman, The André-Oort conjecture for A
_{g}, Ann. of Math. (2) 187 (2018), no. 2, 379-390. (The link works only at MIT.) - Bakker, Klinger and Tsimerman; Tame topology of arithmetic quotients and algebraicity of Hodge loci, arXiv:1810.04801.

- Pila, O-minimality and Diophantine geometry, Proceedings of the International Congress of Mathematicians-Seoul 2014. Vol. 1, 547-572, Kyung Moon Sa, Seoul, 2014.
- Scanlon, Counting special points: logic, Diophantine geometry and transcendence theory, Bull. Amer. Math. Soc. (N.S.) 49 (2012), no. 1, 51-71.
- Marker,
*Model theory: an introduction*, Graduate Texts in Mathematics, 217. Springer-Verlag, New York, 2002. - Pila and Wilkie, The rational points of a definable set, Duke Math. J. 133 (2006), no. 3, 591-616.
- Pila and Tsimerman, Ax-Lindemann for A
_{g}, Ann. of Math. (2) 179 (2014), no. 2, 659-681. (The link works only at MIT.)

February 8: Vishal Arul. Overview of the Pila-Wilkie strategy (Scanlon, O-minimality, Sections 1 and 2) |

February 15: Yibo Ji. Review of first-order logic, and o-minimality (Scanlon, O-minimality, Section 3) |

February 22: |

March 1: |

March 8: |

March 15: |

March 22: NO MEETING (eve of Spring Break) |

March 29: NO MEETING (Spring Break) |

April 5: |

April 12: |

April 19: |

April 26: |

May 3: |

May 10: |

May 17: |

Past semesters: Fall 2009, Spring 2010, Fall 2010, Spring 2011, Fall 2011, Spring 2012, Fall 2012, Spring 2013, Fall 2013, Spring 2014, Fall 2014, Spring 2015, Fall 2015, Spring 2016, Fall 2016, Spring 2017, Fall 2017, Spring 2018, Fall 2018

Organizers: Atticus Christensen, Bjorn Poonen, Yichi Zhang.