Weibel's vanishing conjecture and its Monoid analog

[Grothendieck School of Thoughts]

"It is easy to see that algebraic K-theory (as defined in [19]) cannot satisfy descent for arbitrary blow-ups since it is not homotopy invariant in characteristic zero—as would be implied by homotopy invariance for smooth varieties and resolution of singularities. However, there is a variant of K-theory introduced by Weibel [24] that is homotopy invariant and widely expected to satisfy descent with respect to arbitrary abstract blow-ups." ....'Descent properties of Homotopy K-theory' by Christian Haesemeyer.

In the upcoming lecture we are going to learn about this particular K-theory while investigating the famous Weibel's vanishing conjecture. The speaker is also going to talk about his joint work with Dr. Amalendu Krishna on the monoid version of this conjecture. Please find the details below to join us at this exciting event.

Title: Weibel's vanishing conjecture and its Monoid analog

Time: 29th July, Saturday, 3 PM IST 

Speaker: Prof. Husney Parvez Sarwar

Section: Applications of Algebraic K-theory

Web Page: http://gstmath.in/applications-of-algebraic-k-theory/

This is an online only event; use the following details to join:
https://zoom.us/j/99423772257?pwd=MW54aHE4djJrakVXS1ZkejMvd2lBUT09

Meeting ID: 994 2377 2257
Passcode: 792076

The last lecture can be seen here: https://youtu.be/4g-HNFUzsIs.

[Grothendieck School of Thoughts]

Weibel's conjecture asserts that for a Noetherian scheme of Krull dimension d, all the K-groups of order i <-d vanish.  The conjecture was proposed by Charles Weibel in 1980 and proven in full generality only recently in 2018 by Kerz, Strunk & Tamme using methods from derived algebraic geometry.

To know more about this powerful theorem and see its implications, make sure to join us today at 3 PM IST. 

https://zoom.us/j/99423772257?pwd=MW54aHE4djJrakVXS1ZkejMvd2lBUT09

Meeting ID: 994 2377 2257
Passcode: 792076