Modern Mathematics Lecture Series: Vanishing negative K-theory and bounded t-structures

Speaker

Amnon Neeman

University of Milan

Time

Fri., 16:00-17:00, Sept. 6, 2024

Venue

C548, Shuangqing Complex Building A

清华大学双清综合楼A座 C548报告厅

Online

Zoom Meeting ID: 271 534 5558

Passcode: YMSC

Abstract

We will begin with a quick reminder of algebraic K-theory, and a few classical, vanishing results for negative K-theory. The talk will then focus on a striking 2019 article by Antieau, Gepner and Heller - it turns out that there are K-theoretic obstructions to the existence of bounded t-structures.

The result suggests many questions. A few have already been answered, but many remain open. We will concentrate on the many possible directions for future research.

About the speaker

Amnon Neeman

University of Milan

Education and employment: Received my PhD from Harvard University in 1983, postdoc positions at Institute for Advanced Study (1983/84), Princeton University (1984-87). Tenure at the University of Virginia (1987-98), then at the Australian National University (1999-2023), and the University of Milan (from 2023).

Honors: Australian Laureate Fellowship (2011-2016), invited speaker at ICM 2022, European Research Council Advanced Grant (2023-2027).