Ziquan Zhuang and I organize a reading seminar in the summer of 2020 concentrating on the integral Hodge conjecture. We will cover some results in the positive direction as well as counter-examples.
We meet every Friday 2:30-3:30 via the zoom link:
https://mit.zoom.us/j/551910773
Schedue:
July 3: Ziquan: Overview, the constructions of Kollár and Atiyah-Hirzebruch.
July 10: Dori: On integral Hodge classes on uniruled or Calabi-Yau 3-folds (Voisin).
July 17: Tudor: Anti-canonical divisors and curve classes on Fano manifolds (Höring-Voisin).
July 24: Kai: The integral Hodge conjecture for 3-folds of Kodaira dimension zero (Totaro).
July 31: Cancelled due to the rationality conference!
Aug 7: Junliang: Failure of the integral Hodge conjecture for 3-folds of Kodaira dimension 0 (Benoist-Ottem).
Aug 14: Laure: On the integral Hodge and Tate conjectures over a number field (Totaro).
Aug 21: Davesh: Vanishing cycles under base change and the integral Hodge conjecture (Mingmin Shen).
Aug 28 & Sep 4: Elden and Sveta: The Integral Hodge conjecture for 2-dimensional CY categories (Perry).