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• Thick points under Gaussian free field dynamics math.PR · 2026-06-09 · unverdicted · none · ref 12

  Under OU-GFF dynamics thickness evolves continuously for all points and realizes every deterministic function; under stationary SHE dynamics thickness is discontinuous, super-thick points appear, and there exist phase transitions at gamma squared values 8, 6, 16/3, ... converging to 4 that match Ber

• The Galois theory of $G$-spectra and the Burnside ring math.AT · 2026-05-11 · unverdicted · none · ref 72

  The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.

• Convergence of orbital integrals on unitary groups in positive characteristic math.RT · 2026-05-11 · unverdicted · none · ref 42

  Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.

• Varieties of minimal degree in weighted projective space math.AC · 2026-04-20 · unverdicted · none · ref 140

  The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.

• Birational Algebraic Topology math.AG · 2026-06-22 · unverdicted · none · ref 9

  Birational localization of motivic spaces over perfect fields is equivalent to S^{2,1}-nullification, making π0^{b A^1} a birational invariant for proper schemes.

• Local centralizer rigidity for twisted Weyl chamber flows math.DS · 2026-06-08 · unverdicted · none · ref 48

  Proves local centralizer rigidity results for elements of Weyl chamber flows and twisted Weyl chamber flows on compact homogeneous spaces.

• Burklund-Lin-Wang-Xu Methods in the Cofiber-of-Tau Formalism and Applications to Equivariant Slice Differentials math.AT · 2026-06-01 · unverdicted · none · ref 2

  Extends Burklund-Lin-Wang-Xu techniques to cofiber-of-τ formalism for hidden extensions and derives new exotic transfer differentials in C4-slice spectral sequences for BP((C4))<m>.

• Additive categorification of the monoidal $\Lambda$-invariant math.RT · 2026-05-05 · unverdicted · none · ref 101

  The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.

• The integral Chow ring of $\mathscr{M}_{0}(\mathbb{P}^r, 2)$ math.AG · 2026-04-21 · unverdicted · none · ref 21

  The integral Chow ring of M_0(P^r, 2) is presented as a quotient of a three-variable polynomial ring with all non-trivial relations encoded by two rational generating functions.

• $\mathbb{G}_m$-cohomology of $p$-adic Stein spaces math.NT · 2026-05-06 · unverdicted · none · ref 1

  Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.