Material
On this page, we will upload material from the lectures when it is available.
Online conference
The recordings will be uploaded as part of the Youtube playlist GCT2022 Conference.
Slides from the talks:
Online Lectures Series
Recordings
The recordings will be uploaded as part of the Youtube playlist GCT2022 Online lectures.
Zulip channel
A specific channel dedicated to the event has been created on the algebraic complexity Zulip. Discussions and updates will be posted there, and participants can ask questions related to the lectures.
Slides
- Lecture 1. Christian Ikenmeyer - GCT, an overiew:
- Lecture 2. Krishna Hanumanthu - Basics of Algebraic Geometry:
- Lecture 3. Komaranapuram N Raghavan - Actions on varieities, representations, and Chevalley's theorem:
- Lecture 4. Upendra Kulkarni - Representations, Isotypic components, Reductive groups, Actions on coordinate ring, Local finiteness:
- Lecture 5. Krishna Hanumanthu - Basics of Algebraic Geometry II:
- Lecture 6. Komaranapuram N Raghavan - Stabilizers, Affine Orbits, Homogeneous Spaces:
- Lecture 7 and 8. T. R. Ramadas - Geometric Invariant Theory:
- Lecture 9: S. Srinivasan -- Algebraic Complexity: An Introduction:
- Lecture 11: A. Garg -- The matrix scaling problem:
- Lecture 12: A. Wigderson -- Determinant and Permanent, non-identical twins:
- Lecture 13: S. Tavenas -- Algebraic complexity: upper bounds:
- Lecture 14: A. Garg -- Computational problems for torus action:
- Lecture 15: R. Oliveira -- Non-commutative PIT, Operator Scaling:
- Lecture 16: S. Tavenas -- Algebraic complexity: structural results:
- Lectures 18 and 19: Luke Oeding: Representations in coordinate rings, GLn representations:
- Lecture 20: Jesko Hüttenhain -- Orbit closures in GCT, techniques from projective geometry:
- Lecture 23: Ramprasad Saptharishi -- Lower bounds 1:
- Lecture 24: Greta Panova -- Kronecker and plethysm coefficients:
- Lecture 25: Peter Bürgisser -- Geometric Complexity Theory: No Occurrence Obstructions for Determinant vs Permanent:
- Lecture 26: Ramprasad Saptharishi -- Lower bounds 2:
- Lecture 27: K. V. Subrahmanyam -- Algebraic algorithm for null cone membership for left-right actions:
- Lecture 28: Michael A. Forbes -- Explicit dimension reduction for varieties, and the polynomial identity testing problem:
- Lecture 29: Chandan Saha -- Arithmetic circuit reconstruction 1:
- Lecture 30: Chandan Saha -- Arithmetic circuit reconstruction 2:
- Lecture 31: Hiroshi Hirai -- Discrete Convex Optimization for Left-Right Action (nc-rank & det), part 1:
Additional Material
We have also made a selection of lecture notes related to the online lectures: Expository notes for GCT2022.
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