Mon, 24 Apr 2023
14:15
L4

Non-Archimedean Green's functions

Sébastien Boucksom
(CNRS / Institut de Mathématiques de Jussieu-Paris Rive Gauche)
Abstract

Pluripotential theory studies plurisubharmonic functions and complex Monge-Ampère equations on complex manifolds, and has played a key role in recent progress on Kähler-Einstein and constant scalar curvature Kähler metrics. This theory admits a non-Archimedean analogue over Berkovich spaces, that can be used to study K-stability. The purpose of this talk is to provide an introduction to this circle of ideas, and to discuss more specifically recent joint work with Mattias Jonsson studying Green's functions in this context.

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 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.c.6531051.v1
Supplementary Methods from Mitochondrial Inhibitor Atovaquone Increases Tumor Oxygenation and Inhibits Hypoxic Gene Expression in Patients with Non–Small Cell Lung Cancer
 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.22482990.v1
Supplementary Data from Mitochondrial Inhibitor Atovaquone Increases Tumor Oxygenation and Inhibits Hypoxic Gene Expression in Patients with Non–Small Cell Lung Cancer
 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.22482993.v1
Supplementary Data from Mitochondrial Inhibitor Atovaquone Increases Tumor Oxygenation and Inhibits Hypoxic Gene Expression in Patients with Non–Small Cell Lung Cancer
 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.22482993
Supplementary Data from Mitochondrial Inhibitor Atovaquone Increases Tumor Oxygenation and Inhibits Hypoxic Gene Expression in Patients with Non–Small Cell Lung Cancer
 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.22482996
Supplementary Methods from Mitochondrial Inhibitor Atovaquone Increases Tumor Oxygenation and Inhibits Hypoxic Gene Expression in Patients with Non–Small Cell Lung Cancer
 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.22482990
Data from Mitochondrial Inhibitor Atovaquone Increases Tumor Oxygenation and Inhibits Hypoxic Gene Expression in Patients with Non–Small Cell Lung Cancer
 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.c.6531051
Supplementary Data from Mitochondrial Inhibitor Atovaquone Increases Tumor Oxygenation and Inhibits Hypoxic Gene Expression in Patients with Non–Small Cell Lung Cancer
 Skwarski, M McGowan, D Belcher, E Di Chiara, F Stavroulias, D McCole, M Derham, J Chu, K Teoh, E Chauhan, J O’Reilly, D Harris, B Macklin, P Bull, J Green, M Rodriguez-Berriguete, G Prevo, R Folkes, L Campo, L Ferencz, P Croal, P Flight, H Qi, C Holmes, J O’Connor, J Gleeson, F McKenna, W Harris, A Bulte, D Buffa, F Macpherson, R Higgins, G (31 Mar 2023) doi:10.1158/1078-0432.22482996.v1
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