mathematics, Weibel's conjecture gives a criterion for vanishing of negative algebraic K-theory groups. The conjecture was proposed by Weibel (1980) and...

2024) Maximal rank conjecture (Eric Larson, 2018) Weibel's conjecture (Moritz Kerz, Florian Strunk, and Georg Tamme, 2018) Yau's conjecture (Antoine Song,...

Tamme (2018) to prove Weibel's conjecture on vanishing of negative K-theory. The formulation of the Geometric Langlands conjecture by Arinkin and Gaitsgory...

Rost in proving the (motivic) Bloch–Kato conjecture (2009). It is a generalization of the Milnor conjecture of algebraic K-theory, which was proved by...

inspired by earlier conjectures of Lichtenbaum (1973). Kahn (1997) and Rognes & Weibel (2000) proved the Quillen–Lichtenbaum conjecture at the prime 2 for...

In mathematics, the Milnor conjecture was a proposal by John Milnor (1970) of a description of the Milnor K-theory (mod 2) of a general field F with characteristic...

as Milnor's conjecture. The general case was conjectured by Spencer Bloch and Kazuya Kato and became known as the Bloch–Kato conjecture or the motivic...

2002. He is also known for the proof of the Milnor conjecture and motivic Bloch–Kato conjectures and for the univalent foundations of mathematics and...

algebraic geometry, the Bass conjecture says that certain algebraic K-groups are supposed to be finitely generated. The conjecture was proposed by Hyman Bass...

(2007). Ricci Flow and the Poincaré Conjecture. CIMM 3. ISBN 978-0-8218-4328-4. Mazza, Carlo; Voevodsky, Vladimir; Weibel, Charles (2006). Lecture Notes on...

incorporating earlier conjectures by Deligne and Beilinson. The Birch–Swinnerton-Dyer conjecture is a special case. More precisely, the conjecture predicts the...

empirical observations based on those predictions. A hypothesis is a conjecture based on knowledge obtained while seeking answers to the question. Hypotheses...

K-group of a field K-theory spectrum Redshift conjecture Topological K-theory Rigidity (K-theory) Weibel 1999 Grothendieck 1957, Borel–Serre 1958 Atiyah–Hirzebruch...

conjectures (which are proven by different means by Deligne), assuming the standard conjectures to hold. For example, the Künneth standard conjecture...

are in some sense equivalent, and progress on the Quillen–Lichtenbaum conjecture. Born in Tulsa, Oklahoma, Thomason did his undergraduate studies at Michigan...

of different origins have been proved or conjectured. For example, the homological mirror symmetry conjecture predicts that the derived category of a Calabi–Yau...

in conjunction with his work on the Adams conjecture. A different proof was given by Jardine (1993). Weibel (2005) surveys the computations of K-theory...

polynomial rings. In 1976 he and Daniel Quillen independently proved Serre's conjecture about the triviality of algebraic vector bundles on affine space. In 1982...

with a radius of about 10 km, rather than black holes as originally conjectured. An accurate estimate of size requires some knowledge of the emissivity...

axioms Extraordinary homology theory Homological algebra Homological conjectures in commutative algebra Homological connectivity Homological dimension...

in 1959 at NYU. Her dissertation, On G. Bol's Proof of Caratheodory's Conjecture, was supervised by Bers. Although Bers found a position for Weinstein...

accessible. They also often serve as a test for new conjectures. (For example the Hodge conjecture (in certain cases).) The one-dimensional case, namely...

sporadic group is called the monster group. The monstrous moonshine conjectures, proved by Richard Borcherds, relate the monster group to certain modular...

such as in deformation quantization of Poisson manifolds, the Deligne conjecture, or graph homology in the work of Maxim Kontsevich and Thomas Willwacher...

11 : at least PG(2, 11), others are not known but possible. 12 : it is conjectured to be impossible as an order of a projective plane.[citation needed]...

twisted K-theory have appeared in Type II string theory where it has been conjectured that they classify D-branes, Ramond–Ramond field strengths and also certain...

computed by generators and relations. A much deeper result, the Bloch-Kato conjecture (also called the norm residue isomorphism theorem), relates Milnor K-theory...

physicist (Ioffe Physico-Technical Institute) Isaak Khalatnikov, BKL conjecture in general relativity Leo Palatnik, thin film physics Ivan Pulyui, scientist...

Medal winner; proved the Heron-Rota-Welsh conjecture with algebraic geometrical method, among other conjectures; known for his authorship of Combinatorial...

Dahms, "The Emigration of the Vienna Circle", in: Friedrich Stadler, Peter Weibel (ed.), The Cultural Exodus from Austria, Vienna 1995. Stöltzner and Uebel...