Vanishing negative K-theory and bounded t-structures

Join us for this special Nexus colloquium by Professor Amnon Neeman (University of Milan)

About the talk

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 is a Professor of Mathematics at the University of Milan where he holds an advanced grant from the European Research Council. He received his PhD from Harvard under the supervision of David Mumford, and then spent four years at Princeton as a postdoc followed by twelve years at the University of Virginia as an associate professor. After this, Amnon joined the Australian National University where he went on to become a full professor, was elected to the Australian Academy of Sciences, and was awarded an Australian Laureate Fellowship. Amnon's main research focuses on homological algebra and its applications to algebraic geometry, topology, and K-theory. He is especially known for applying novel techniques to the study of triangulated categories, which has resulted in the resolution of important conjectures in algebraic geometry and K-theory.

Schedule

4-5pm: Presentation by Prof Amnon Neeman in Room 4082, Anita B. Lawrence Centre, UNSW
5-6pm: Reception with refreshments in Room 3082, Anita B. Lawrence Centre, UNSW

Venue

Please enter the Anita B. Lawrence Centre building via the Centre Wing or East Wing entrances of the School of Mathematics and Statistics (ref: H15 on UNSW campus map).

*Please note that the School of Mathematics and Statistics is not accessible via the West Wing of the building.

Frontiers in Fundamental Mathematics Research Nexus

This event is presented by the UNSW School of Mathematics and Statistics and is part of our Frontiers in Fundamental Mathematics Research Nexus series, which aims to highlight fundamental research in the mathematical sciences, with an emphasis on the significance and impact of fundamental mathematics to a diverse range of areas within mathematics and beyond.
Learn more about the Nexus Program.

Accessibility

Please note that the Anita B. Lawrence Building rooms 3082 and 4082 are wheelchair accessible. When you register, please indicate if you have any accessibility requirements and we will get in touch with you to ensure they can be accommodated.

Enquiries

Please contact Jan Lin if you have any enquiries about this event (j.lin@unsw.edu.au).

Professor Amnon Neeman. Photo Jamie Kidston