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brief category:people
-entry for hyperlinking references at heavy flavor
brief category:people
-entry for hyperlinking references at nuclear physics, chiral perturbation theory and quantum hadrodynamics
I tried to polish the "Idea" and the "References" section at Courant algebroid to something more comprehensive.
added pointer to today’s
a stub, to satisfy links at Ehlers transformation
a stub, to satisfy links at Ehlers transformation
Created a page for the poly-morphisms of Mochizuki. For a while I laboured under a misconception as to what they are, and I suspect so did others, despite the definition being deceptively simple. To put the construction in perspective, I generalised the definition to take as input a -category and a lax monoidal endofunctor of , rather than just and the endofunctor the (covariant) power set functor.
Taylor Dupuy is interested in a model theoretic view of how can think of interpretations of the categories resulting from this construction, we are discussing this privately.
I edited the entry enriched category theory a bit, in an attempt to eventually bring that into decent shape.
I think we should eventually expand the list of related entries there and make it a floating toc.
I have added to the beginning of the category:people entry Jacob Lurie a little bit of actual text. Please feel invited to further expand and fine-tune. Right now it reads as follows:
After an early interest in formal logic (see Notices of the AMS vol 43, Number 7) Lurie indicated in his PhD thesis how the moduli stack of elliptic curves together with the collection of elliptic cohomology spectra associated to each elliptic curve is naturally understood as a geometric object in a homotopy theoretic refinement of algebraic geometry that has come to be known as derived algebraic geometry. He then embarked on a monumental work laying out detailed foundations of the subjects necessary for this statement, which is homotopy theory in its modern incarnations as higher category theory, higher geometry in terms of higher topos theory and finally higher algebra in terms of higher operads, all in principle very much along the lines originally developed by Alexander Grothendieck and his school for ordinary algebraic geometry, but now considerably further refined to the general context of homotopy theory. While some developments in these topics had been available before, Lurie’s comprehensive work has arguably led these subjects to an era of reinvigorated activity with a variety of further spin-offs. Among these most notable is maybe the formalization and proof of the cobordism hypothesis, which lays higher monoidal category theoretic foundations for (local, topological) quantum field theory.
I created projectively cofibrant diagram.
Added missing proof of implication in topology - global countability axioms.
Working on page to be included in several pages like second-countable space, etc.
brief category:people
-entry for hyperlinking references at Skyrmion and quantum hadrodynamics
brief category:people
-entry for hyperlinking references at quantum hadrodynamics and WZW term
brief category:people
-entry for hyperlinking references at Skyrmion and quantum hadrodynamics
brief category:people
-entry for hyperlinking references at DBI-action
I added a discussion of space in Kant’s Transcendental Aesthetics in Critique of Pure Reason.
By the way, the translation of the quote from Kant in the section “On Aristotelian logic” seem a bit strange: I think the original German sentence was “Begriffe aber beziehen sich als Prädikate möglicher Urtheile auf irgend einen noch unbestimmten Gegenstand” (“But conceptions, as predicates of possible judgements, relate to some representation of a yet undetermined object.”).
PS The automatic function to create this thread in the nforum did not word.
brief category:people
-entry for hyperlinking references at chiral perturbation theory
brief category:people
-entry for hyperlinking references at chiral perturbation theory
brief category:people
-entry for hyperlinking references at hidden local symmetry
splitting this off from Schwinger effect, to go with a list of entries on fundamental scales
added pointer to today’s
I created the page
with some discussion and references on the various triangulated categories associated to a scheme (e.g. bounded derived category of coherent sheaves, triangulated category of perfect complexes).
brief category:people
-entry for hyperlinking references at quark and quantum chromodynamics