S4A1 Graduate Seminar Algebraic Geometry (Friday Seminar), Winter term 2026/27, 4-6pm, SR 0.006

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We will cover three topics this term:
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1. Dynamics (Cat(0), Cremona, etc.), 
<br>2. Brauer groups (recent results of Scavia-Reichstein, Saltman, ....),
<br> 3. Moduli spaces and hyperholomorphic bundles
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Students are encouraged to participate. Either by giving talks or by attending the talks
and surveying one or two of the talks at the end of term to obtain credit points.
<br>Please get in touch huybrech@math.uni-bonn.de.

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The planning is provisional. Some talks might spill over and other topics will be included later.
I will try to keep this up to date here.

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The seminar takes place every(?) Friday 4:15pm in SR 0.006.
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<li>October 16: Dynamics 1: Giacomo Mezzedimi: Introduction to Cat(0) <li>

<li>October 23: Dynamics 2: Gebhard Martin and Giacomo Mezzedimi: Cone conjecture implies Cat(0) (see Kikuta https://arxiv.org/pdf/2406.18438)<li>

<li>October 30: Dynamics 3: Gebhard Martin: Homological vs. Algebraic entropy (see Xie https://arxiv.org/pdf/2412.01216v2)<li>

<li>November 13: Dynamics 4: Isabella Salvalaggio: Applications to birational automorphism groups (complexity of Cremona groups  https://arxiv.org/abs/1007.0895 or regularizability https://arxiv.org/abs/1307.0361)<li>

<li>November 20: Brauer 1: Daniel Huybrechts and Anna Savelyeva: Non-splitting of Brauer classes (after Reichstein-Scavia, https://arxiv.org/pdf/2508.07447)<li>

<li>November 27: Brauer 2:  Moritz Hartlieb: Stable rationality and cyclicity (after Saltman, 
https://arxiv.org/pdf/2409.07240) <li>

<li>December 4: Brauer 3: TBC<li>

<li>December 11: Moduli 1: TBC Mukai's toolkit in higher dimensions (see https://arxiv.org/pdf/2602.23194) <li>

<li>December 18: Moduli 2: Riccardo Carini:  Moduli of sheaves on hyperkaehler manifolds (after O' Grady https://arxiv.org/pdf/2606.03775)<Li>

<li>January 15: Moduli 3: Moritz Hartlieb: Hyperholomorphic kernels and D-equivalence (after https://arxiv.org/pdf/2204.00516, https://arxiv.org/pdf/2408.14775, https://arxiv.org/pdf/2608.13403)<li>