The boundary of K-moduli of prime Fano threefolds of genus twelve We study the K-moduli stack of prime Fano threefolds of genus twelve, known as $V_{22}$. We prove that its boundary, which parametrizes singular members, is purely divisorial and consists of four…

"The boundary of K-moduli of prime Fano threefolds of genus twelve" by Anne-Sophie Kaloghiros, Yuchen Liu, Andrea Petracci, and Junyan Zhao. A lovely new preprint. #AlgebraicGeometry

Boom. Now UoN need to ACTUALLY be prepared to negotiate + compromise on their disastrous plans which threaten the university on an existential level + will lead to massive job losses. We can + MUST challenge this. Be part of @uonucu.bsky.social to save the soul of this uni.

British universities paid security firm to monitor pro-Palestine students - Liberty Investigates Horus provided reports about student protesters' social media use and undertook background checks on a Palestinian guest speaker

University of Nottingham using private security firm Horus to spy on pro-Palestine sudents and academics? Pretty disgusting if true @uniofnottingham.bsky.social? @uonucu.bsky.social @uonsoe.bsky.social #WeAreUoN
libertyinvestigates.org.uk/articles/bri...

We now have a mandate for the next 12 months to fight back against this administration who seems hell bent on destroying this university. We will not stand for course closures, compulsory redundancies, ridiculous student-staff ratios, and administrative waste.

On the unirationality of quadric bundles We prove that a general (n-1)-fold quadric bundle \mathcal{L}^{n-1}\rightarrow P^1, over a number field, with (-K_{\mathcal{L}^{n-1}})^n > 0 and discriminant of odd degree \delta_{\mathcal{L}^{n-1}} is unirational, and that the same holds for quadric bundles over an arbitrary infinite field provided that \mathcal{L}^{n-1} has a point, is otherwise general and n <= 5. As a consequence we get the unirationality of any smooth quadric surface bundle \mathcal{L}^2\rightarrow P^1, over an algebraically closed field, with \delta_{\mathcal{L}^2} <= 12.

Alex Massarenti's paper "On the unirationality of quadric bundles" was published in Advances in Mathematics.
www.sciencedirect.com/science/arti...

Alex Massarenti (Ferrara) Alex Massarenti (Ferrara)3 August 2023"On the (uni)rationality problem for quadric bundles and hypersurfaces"A variety X over a field is unirational if there...

Alex Massarenti (Ferrara) speaking on "On the (uni)rationality problem for quadric bundles and hypersurfaces" at our #AlgebraicGeometry #Math seminar back in August 2023. #MathSky

The structure of the moduli of gauged maps from a smooth curve For a reductive group $G$, Harder-Narasimhan theory gives a structure theorem for principal $G$ bundles on a smooth projective curve $C$. A bundle is either semistable, or it admits a canonical…

See also the preprint by Daniel Halpern-Leistner and Andres Fernandez Herrero on the arXiv.
arxiv.org/abs/2305.09632

Andres Fernandez Herrero (Columbia) Andres Fernandez Herrero (Columbia)27 July 2023"Harder–Narasimhan theory for gauged maps"In this talk, I will discuss recent techniques developed to construc...

Andres Fernandez Herrero (Columbia) speaking on "Harder–Narasimhan theory for gauged maps" at our #AlgebraicGeometry #Math seminar back in July 2023. #MathSky

The doubting/kicking comes at 3am. But it’s usually gone by morning.

🗞️ The LMS Newsletter is published quarterly and welcomes submissions of feature content, including mathematical articles, career-related articles, and microtheses, from members and non-members.

The next deadline is 10 July ➡️ www.lms.ac.uk/publications...

Like every mathematician I know, I have notebooks full of projects I never got around to writing up. Occasionally I see some of these ideas independently discovered and published on the arXiv. Invariably they do a much better job than I would have done, and I get the pleasure of reading their work.

This looks like an incredibly exciting opportunity to do some extremely interesting and valuable work.

Connected algebraic subgroups of groups of birational transformations not contained in a maximal one We prove that for each n≥2, there exist a ruled variety X of dimension n and a connected algebraic subgroup of Bir(X) which is not contained in a maximal one.

Sokratis Zikas' work - joint with Pascal Fong - was published in Comptes Rendus. Mathématique.
comptes-rendus.academie-sciences.fr/mathematique...

Sokratis Zikas (Poitiers) Sokratis Zikas (Poitiers)20 July 2023"On connected algebraic subgroups of groups of birational transformations"The problem of understanding the structure of ...

Sokratis Zikas (Poitiers) speaking on "On connected algebraic subgroups of groups of birational transformations" at our #AlgebraicGeometry #Math seminar back in July 2023. #MathSky

Some Novel Constructions of Gromov-Hausdorff-Optimal Correspondences Between Spheres In this article, as a first contribution, we provide alternative proofs of recent results by Harrison and Jeffs which determine the precise value of the Gromov-Hausdorff (GH) distance between the c...

"Some Novel Constructions of Gromov-Hausdorff-Optimal Correspondences Between Spheres" by Saúl Rodríguez-Martín. #ExperimentalMath #GeometricAnalysis

Marc Truter Hi! I am a final year PhD student at the University of Warwick under the supervision of Gavin Brown. I am interested in algebraic geometry and machine learning. I like to think about how computers, and AI, through respective algorithm and architecture design, can be used to help classify objects in birational geometry. Currently, I am working on understanding Fano 4-fold hypersurfaces, and how deep reinforcement learning can be used to help enumerate them.

Visit Marc's webpage: www.marctruter.com

The point here is that the classification is vast, and classical computational methods only get you so far. As geometers we expect that there should be many really informative examples out at the "deep end", but we simply don't know how to get there. Reinforcement learning might provide a way.

Deep Reinforcement Learning for Fano Hypersurfaces We design a deep reinforcement learning algorithm to explore a high-dimensional integer lattice with sparse rewards, training a feedforward neural network as a dynamic search heuristic to steer…

Marc Truter, a PhD #AlgebraicGeometry student at Warwick, has been working on a fascinating project using reinforcement learning to explore the space of Fano 4-fold hypersurfaces with terminal singularities. #MachineLearning #MathSky

Moduli of genus six curves and K-stability The K-moduli theory provides different compactifications of various moduli spaces, including moduli of curves. As a general genus six curve can be canonically embedded into the smooth quintic del Pezzo surface, we study in this paper the K-moduli spaces M^K(c) of the quintic log Fano pairs. We classify the strata of genus six curves C appearing in the K-moduli by explicitly describing the wall-crossing structure. The K-moduli spaces interpolate between two birational moduli spaces constructed by Geometric Invariant Theory (GIT) and moduli of K3 surfaces via Hodge theory.

Junyan Zhao's paper was published in the Transactions of the American Mathematical Society.
www.ams.org/journals/btr...

Junyan Zhao (Illinois) Junyan Zhao (Illinois)13 July 2023"Moduli of curves of genus 6 and K-stability"In this talk, I will describe a way to study moduli of curves of small genus (...

Junyan Zhao (Illinois) speaking on "Moduli of curves of genus 6 and K-stability" at our #AlgebraicGeometry #Math seminar back in July 2023. #MathSky

🌸 𝗝𝗼𝗶𝗻 𝘁𝗵𝗲 𝗟𝗠𝗦! 🌸

If you are considering joining the LMS and enjoying the many benefits, don't forget to fill in the application by TOMORROW (13 April) so it can be presented at our next Society Meeting on 17 April.

Full details ➡️ www.lms.ac.uk/membership

Issue 1 has sold out - Issue 2 is now open for submissions.

Short fiction, poetry, slow journalism. Submit your piece to the UK's newest, Nottinghamest print journal.

Visit newnottinghamjournal.com/submissions to find out more.

Birationally equivalent Landau-Ginzburg models on cotangent bundles and adjoint orbits We show that the Lie potential on the minimal semisimple adjoint orbit $\mathcal{O}_n$ of $\mathfrak{sl}(n+1,\mathbb{C})$ coincides with toric potential on $T^*\mathbb P^{n}$. We then study the…

For more details, see Bruno Suzuki's preprint on the arXiv.
arxiv.org/abs/2304.13260

Bruno Suzuki (São Paulo) Bruno Suzuki (São Paulo)6 July 2023"Birationally equivalent Landau–Ginzburg models on cotangent bundles and adjoint orbits"We show that the Lie potential on ...

Bruno Suzuki (São Paulo) speaking on "Birationally equivalent Landau–Ginzburg models on cotangent bundles and adjoint orbits" at our #AlgebraicGeometry #Math seminar back in July 2023. #MathSky

Bernstein-Kouchnirenko-Khovanskii with a symmetry A generic polynomial f(x,y,z) with a prescribed Newton polytope defines a symmetric spatial curve f(x,y,z)=f(y,x,z)=0. We study its geometry: the number, degree and genus of its irreducible…

For more details see the arXiv preprint by Alexander Esterov and Lionel Lang.
arxiv.org/abs/2207.03923

Alexander Esterov (LIMS) Alexander Esterov (LIMS)22 June 2023"Bernstein–Kouchnirenko–Khovanskii with a symmetry"A generic polynomial f(x,y,z) with a prescribed Newton polytope define...

Alexander Esterov (LIMS) speaking on "Bernstein–Kouchnirenko–Khovanskii with a symmetry" at our #AlgebraicGeometry #Math seminar back in June 2023. #MathSky

MSNOW screengrab

Threatening to destroy "a whole civilization" in between posting about Fox News personalities and addressing a European audience by phone to endorse its autocratic leader.

The mask really is slipping today.

Trump today: "A whole civilization will die tonight, never to be brought back again. ... God Bless the Great People of Iran!" -- This is beyond crazy.

Revisiting de Broglie’s famous paper of 1924 Louis-Victor de Broglie secured his place in the history of quantum physics by proposing the existence of matter waves. Following the concept accepted early in the twentieth century that light wave...

Revisiting de Broglie’s famous paper of 1924 www.tandfonline.com/doi/full/10....