23w5006 Home Confirmed Participants Schedule Workshop Videos

Spinorial and octonionic aspects of G2 and Spin(7) geometry

Videos from BIRS Workshop

John Huerta, University of Lisbon

Monday May 29, 2023 08:30 - 09:30

Octonions and spinors

Watch video | Download video: 202305290830-Huerta.mp4 (84M)

Video: John Huerta, "Octonions and spinors" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305290830-Huerta.html

Cristina Draper, University of Malaga

Monday May 29, 2023 09:30 - 10:30

The Killing’s gift

Watch video | Download video: 202305290930-Draper.mp4 (70M)

Video: Cristina Draper, "The Killing’s gift" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305290930-Draper.html

Daniel Platt, Imperial College London

Monday May 29, 2023 11:00 - 12:00

An example of a

$\mathrm{G_2}$ -instanton on a resolution of

$K3 \times \mathbb{T}^3/\mathbb{Z}_2$ coming from a stable bundle

Watch video | Download video: 202305291100-Platt.mp4 (94M)

Video: Daniel Platt, "An example of a

$\mathrm{G_2}$ -instanton on a resolution of

$K3 \times \mathbb{T}^3/\mathbb{Z}_2$ coming from a stable bundle" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305291100-Platt.html

Alfred Holmes, University of Oxford

Monday May 29, 2023 13:30 - 13:50

Spin(7) instantons and the ADHM Construction

Watch video | Download video: 202305291330-Holmes.mp4 (21M)

Video: Alfred Holmes, "Spin(7) instantons and the ADHM Construction" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305291330-Holmes.html

Diego Artacho, Imperial College London

Monday May 29, 2023 13:50 - 14:10

Generalised Spin

$^r$ Structures on Homogeneous Spaces

Watch video | Download video: 202305291350-Artacho.mp4 (20M)

Video: Diego Artacho, "Generalised Spin

$^r$ Structures on Homogeneous Spaces" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305291350-Artacho.html

Mario Garcia-Fernandez, ICMAT

Monday May 29, 2023 14:10 - 14:30

$\mathrm{SU(n)}$ -instantons from the Hull-Strominger system

Watch video | Download video: 202305291410-Garcia-Fernandez.mp4 (33M)

Video: Mario Garcia-Fernandez, "

$\mathrm{SU(n)}$ -instantons from the Hull-Strominger system" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305291410-Garcia-Fernandez.html

Jesse Madnick, University of Oregon

Monday May 29, 2023 14:30 - 15:30

Harmonic Spinors and Associative

$3$ -folds.

Watch video | Download video: 202305291430-Madnick.mp4 (58M)

Video: Jesse Madnick, "Harmonic Spinors and Associative

$3$ -folds." http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305291430-Madnick.html

Sergey Grigorian, University of Texas Rio Grande Valley

Tuesday May 30, 2023 08:30 - 09:30

Non-associative gauge theory

Watch video | Download video: 202305300830-Grigorian.mp4 (389M)

Video: Sergey Grigorian, "Non-associative gauge theory" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305300830-Grigorian.html

Izar Alonso Lorenzo, University of Oxford

Tuesday May 30, 2023 09:30 - 10:30

New examples of

$\mathrm{SU(2)}^2$ -invariant

$\mathrm{G_2}$ -instantons.

Watch video | Download video: 202305300930-AlonsoLorenzo.mp4 (306M)

Video: Izar Alonso Lorenzo, "New examples of

$\mathrm{SU(2)}^2$ -invariant

$\mathrm{G_2}$ -instantons." http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305300930-AlonsoLorenzo.html

Udhav Fowdar, Unicamp

Tuesday May 30, 2023 11:00 - 12:00

On the harmonic flow of Sp(2)Sp(1)-structures on 8-manifolds

Watch video | Download video: 202305301100-Fowdar.mp4 (86M)

Video: Udhav Fowdar, "On the harmonic flow of Sp(2)Sp(1)-structures on 8-manifolds" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305301100-Fowdar.html

Christina Tonnesen-Friedman, Union College, Schenectady, NY

Tuesday May 30, 2023 14:10 - 14:30

Sasakian geometry on certain fiber joins

Watch video | Download video: 202305301410-Tonnesen-Friedman.mp4 (30M)

Video: Christina Tonnesen-Friedman, "Sasakian geometry on certain fiber joins" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305301410-Tonnesen-Friedman.html

Goncalo Oliveira, Instituto Superior Tecnico

Tuesday May 30, 2023 14:30 - 15:30

Lagrangian mean curvature flow and the Gibbons-Hawking ansatz

Watch video | Download video: 202305301430-Oliveira.mp4 (113M)

Video: Goncalo Oliveira, "Lagrangian mean curvature flow and the Gibbons-Hawking ansatz" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305301430-Oliveira.html

Henrique Sa Earp, Unicamp

Wednesday May 31, 2023 08:30 - 09:30

Flows of geometric structures

Watch video | Download video: 202305310830-SaEarp.mp4 (120M)

Video: Henrique Sa Earp, "Flows of geometric structures" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305310830-SaEarp.html

Da Rong Cheng, University of Miami

Wednesday May 31, 2023 09:30 - 10:30

A variational characterization of calibrated submanifolds

Watch video | Download video: 202305310930-Cheng.mp4 (90M)

Video: Da Rong Cheng, "A variational characterization of calibrated submanifolds" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305310930-Cheng.html

Caleb Suan, University of British Columbia

Wednesday May 31, 2023 11:00 - 12:00

Flows of

$\mathrm{G_2}$ -structures associated to Calabi--Yau manifolds.

Watch video | Download video: 202305311100-Suan.mp4 (62M)

Video: Caleb Suan, "Flows of

$\mathrm{G_2}$ -structures associated to Calabi--Yau manifolds." http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202305311100-Suan.html

Lucia Martin-Merchan, University of Waterloo

Thursday Jun 1, 2023 08:30 - 09:30

Topological properties of closed

$\mathrm{G}_2$ manifolds through compact quotients of Lie groups

Watch video | Download video: 202306010830-Martin-Merchan.mp4 (83M)

Video: Lucia Martin-Merchan, "Topological properties of closed

$\mathrm{G}_2$ manifolds through compact quotients of Lie groups" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306010830-Martin-Merchan.html

Leander Stecker, University of Hamburg

Thursday Jun 1, 2023 09:30 - 10:30

Reducible

$\mathrm{G_2}$ -structures and solutions to the heterotic

$\mathrm{G_2}$ system.

Watch video | Download video: 202306010930-Stecker.mp4 (82M)

Video: Leander Stecker, "Reducible

$\mathrm{G_2}$ -structures and solutions to the heterotic

$\mathrm{G_2}$ system." http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306010930-Stecker.html

Anton Iliashenko, University of Waterloo

Thursday Jun 1, 2023 11:00 - 12:00

Betti numbers of nearly

$\mathrm{G_2}$ and nearly Kähler manifolds with Weyl curvature bounds

Watch video | Download video: 202306011100-Iliashenko.mp4 (78M)

Video: Anton Iliashenko, "Betti numbers of nearly

$\mathrm{G_2}$ and nearly Kähler manifolds with Weyl curvature bounds" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306011100-Iliashenko.html

Shubham Dwivedi, Humboldt University of Berlin

Thursday Jun 1, 2023 13:30 - 13:50

A gradient flow of Spin(7)-structures

Watch video | Download video: 202306011330-Dwivedi.mp4 (29M)

Video: Shubham Dwivedi, "A gradient flow of Spin(7)-structures" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306011330-Dwivedi.html

Giulia Dileo, University of Bari

Thursday Jun 1, 2023 13:50 - 14:10

Generalized Killing spinors on

$3$ -

$(\alpha,\delta)$ -Sasaki manifolds

Watch video | Download video: 202306011350-Dileo.mp4 (46M)

Video: Giulia Dileo, "Generalized Killing spinors on

$3$ -

$(\alpha,\delta)$ -Sasaki manifolds" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306011350-Dileo.html

Markus Upmeier, University of Aberdeen

Thursday Jun 1, 2023 14:10 - 14:30

Spinors, calibrated submanifolds, and instantons

Watch video | Download video: 202306011410-Upmeier.mp4 (26M)

Video: Markus Upmeier, "Spinors, calibrated submanifolds, and instantons" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306011410-Upmeier.html

Federico Trinca, University of Oxford

Thursday Jun 1, 2023 14:30 - 15:30

Calibrated geometry in

$\mathrm{G_2}$ -manifolds with cohomogeneity two symmetry.

Watch video | Download video: 202306011430-Trinca.mp4 (80M)

Video: Federico Trinca, "Calibrated geometry in

$\mathrm{G_2}$ -manifolds with cohomogeneity two symmetry." http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306011430-Trinca.html

Gavin Ball, University of Wisconsin, Madison

Friday Jun 2, 2023 08:30 - 09:30

Irreducible SO(3)-geometry in dimension 5

Watch video | Download video: 202306020830-Ball.mp4 (91M)

Video: Gavin Ball, "Irreducible SO(3)-geometry in dimension 5" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306020830-Ball.html

Fabian Lehmann, Simons Center for Geometry and Physics

Friday Jun 2, 2023 09:30 - 10:30

Closed

$3$ -forms in dimension

$5$

Watch video | Download video: 202306020930-Lehmann.mp4 (98M)

Video: Fabian Lehmann, "Closed

$3$ -forms in dimension

$5$ " http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306020930-Lehmann.html

Michael Albanese, University of Waterloo

Friday Jun 2, 2023 11:00 - 12:00

$Spin^h$ and further generalisations of spin

Watch video | Download video: 202306021100-Albanese.mp4 (102M)

Video: Michael Albanese, "

$Spin^h$ and further generalisations of spin" http://www.birs.ca/events/2023/5-day-workshops/23w5006/videos/watch/202306021100-Albanese.html