Commutative Algebra Webinar
Title:
Homotopy Lie Algebra of Tor-independent Tensor Products
Speaker:
Mohsen Gheibi, Florida A&M University, USA
Date and Time:
19 OCT 2023, 14:30 - 16:30
Abstract:
Given surjective maps φ1:RoS1 and φ2:RoS2 of local rings with TorRi>0(S1,S2)=0, in this talk we focus on the structure of the homotopy lie algebra π(S) of S:=S1⊗RS2. We will see in various cases this is isomorphic to the pullback of Lie algebras π(S1)×π(R)π(S2). As an application, the Poincare series of the residue field of S can be written in terms of the ones of S1, S2, and R. Also, I will address some common properties that local homomorphism φ1 and φ2 share with φ:RoS. The key ingredients are minimal models described in chapter 7 of Avramovs Infinite Free Resolutions book.
This talk is based on a work jointly with L. Ferraro, D. Jorgensen, N. Packauskas, and J. Pollitz.
Online in Zoom: https://zoom.us/join
Meeting ID: 9086116889
Passcode: 362880
Venue: (Online)
Title:
Homotopy Lie Algebra of Tor-independent Tensor Products
Speaker:
Mohsen Gheibi, Florida A&M University, USA
Date and Time:
19 OCT 2023, 14:30 - 16:30
Abstract:
Given surjective maps φ1:RoS1 and φ2:RoS2 of local rings with TorRi>0(S1,S2)=0, in this talk we focus on the structure of the homotopy lie algebra π(S) of S:=S1⊗RS2. We will see in various cases this is isomorphic to the pullback of Lie algebras π(S1)×π(R)π(S2). As an application, the Poincare series of the residue field of S can be written in terms of the ones of S1, S2, and R. Also, I will address some common properties that local homomorphism φ1 and φ2 share with φ:RoS. The key ingredients are minimal models described in chapter 7 of Avramovs Infinite Free Resolutions book.
This talk is based on a work jointly with L. Ferraro, D. Jorgensen, N. Packauskas, and J. Pollitz.
Online in Zoom: https://zoom.us/join
Meeting ID: 9086116889
Passcode: 362880
Venue: (Online)
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