Algebraic Geometry Seminar

The algebraic geometry seminar in Term 2 2025/2026 will usually meet on Wednesdays at 3 pm, though we may sometimes change to allow speakers from other time zones.

Most talks will be either in B3.02 or MB0.07 -- see specific information below.

A link to talks from the previous term is here.

Wednesday 21 Jan 2026, 3pm. Speaker: Alexey Elagin (Sheffield)

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Wednesday 28 Jan 2026, 3pm. Speaker: Thomas Eckl (Liverpool)

Title: The complex geometry of crystallographic groups

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Crystallographic groups describe the symmetries of patterns in the Euclidean space $\mathbb{E}^n$ that are periodic in n linearly independent directions, and thus appeared in myriads of decorations through the millennia, but also play a key role in studying physical and chemical properties of crystals.

In this talk, we first show that the classification of n-dimensional crystallographic groups can be reduced to the classification of n-dimensional orbifold K\"ahler klt pairs with vanishing first and second orbifold Chern class. In particular, such pairs can be described as quotients of complex tori by a finite complex linear group, and we present criteria that such groups must satisfy. Finally, we apply all this to reproduce the classical classification of wallpaper groups.

Wednesday 4 Feb 2026, 3pm. Speaker:

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Wednesday 11 Feb 2026, 3pm. Speaker:

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Wednesday 18 Feb 2026, 3pm. Speaker:

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Wednesday 25 Feb 2026, 3pm. Speaker:

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Wednesday 4 Mar 2026, 3pm. Speaker:

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Wednesday 11 Mar 2026, 3pm. Speaker:

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Wednesday 18 Mar 2026, 3pm. Speaker:

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