I’m honored to be visiting America’s virtuous neighbor to the north to speak in the PIMS – UBC Math Distinguished Colloquium on Friday, September 14, 2018.
Title: Birational geometry and algebraic cycles
Abstract: A fundamental problem of algebraic geometry is to determine which algebraic varieties are rational, that is, isomorphic to projective space after removing lower-dimensional subvarieties from both sides. We discuss the history of the problem. Some dramatic progress in the past 5 years uses a new tool in this context: the Chow group of algebraic cycles.
On the day before, Thursday, September 13, I’ll speak in the UBC Algebraic Geometry seminar.
Title: Hodge theory of classifying stacks
Abstract: The goal of this talk is to create a correspondence between the representation theory of algebraic groups and the topology of Lie groups. The idea is to study the Hodge theory of the classifying stack of a reductive group over a field of characteristic p, the case of characteristic 0 having been studied by Behrend, Bott, Simpson and Teleman. The approach yields new calculations in representation theory, motivated by topology.
The next Southern California Algebraic Geometry Seminar takes place at USC on Saturday, 14 April 2018. More information is available at the seminar webpage.
Our excellent slate of speakers is:
Ben Antieau (UIC)
Barbara Fantechi (Sissa)
Tommaso de Fernex (Utah)
Hiraku Nakajima (Kyoto)
Registration is free and very simple. Please register here.
Photo is by Julie Kitzenberger of a cat and pigeon who are friends. The 14th of April is pigeon day (25 Germinal) in the French Republican calendar.
Update: I’ve realized posting this picture alone is possibly misleading. The picture, taken when Susie was about six months old, is a memorial. Susie died March 7, 2018, at the age of sixteen and a half years. She lived a pretty full life: after coming to us from London in a picnic basket (followed by several days being called Bill), Susie lived in Cambridge (UK and Massachusetts), Los Angeles, Seattle, and Princeton; had illustrious cat sitters; had a book dedicated to her; appeared in the Guardian; and most of all was very greatly loved.
The Spring 2018 edition of the Western Algebraic Geometry Symposium (WAGS) is the weekend of 17–18 March 2018 at San Francisco State University. Details are now on the conference website.
Linda Chen (Swarthmore)
José González (UC Riverside)
Antonella Grassi (Penn)
Alina Marian (Northeastern)
Jose Israel Rodriguez (Chicago)
Karen Smith (Michigan)
Richard Thomas (Imperial)
Photo: Tiger James looks to the new year.
Every year, the Distinguished Lecture Series (DLS) brings two to four eminent mathematicians to UCLA for a week or more to give a lecture series on their field, and to meet with faculty and graduate students.
C. David Levermore
I’ll be speaking (on rationality) at the AMS Fall Sectional Meeting at Riverside. Other speakers in the algebraic geometry session are Aravind Asok, Emily Clader, Omprokash Das, Humberto Diaz, Matthias Flach, Martin Gallauer, James McKernan, Wenhao Ou, Dustin Ross, and Alexander Soibelman. The session is organized by Humberto Diaz, Jose Gonzalez, and Ziv Ran.
The invited addresses are by Paul Balmer, Pavel Etingof, and Monica Vazirani.
Photo: NO YOU CAN’T HAVE MY LEAVES STOP ASKING, from reddit.
I’ve posted a new paper on the arXiv. Most of the results premiered at Oberwolfach, but since then I’ve added an interesting new example inspired by related work of Takehiko Yasuda, whom I met there. (Oberwolfach at work!)
The paper shows that the Kodaira vanishing theorem can fail on smooth Fano varieties of any characteristic p > 0. Taking cones over some of these varieties, we give the first examples of terminal singularities which are not Cohen-Macaulay. By a different method, we construct a terminal singularity of dimension 3 (the lowest possible) in characteristic 2 which is not Cohen-Macaulay.
Image: Palmerston, Foreign Office cat, sneaks up on cheese; from his DiploMog twitter feed