Borcherds product
WebOct 16, 2024 · Borcherds products are explained as solutions of a multiplicative Cousin problem, namely of finding a meromorphic functions with divisor supported on the singularities of the singular theta-lift. We formulate a version of Borcherds’ theorem [ 4, Theorem 13.3], with a simplified form of the infinite product expansion. WebJul 20, 2024 · Borcherds lift for an even lattice of signature (p,q) is a lifting from weakly holomorphic modular forms of weight (p-q)/2 for the Weil representation. We introduce a new product operation on the space of such modular forms and develop a basic theory. The product makes this space a finitely generated filtered associative algebra, without unit …
Borcherds product
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WebBORCHERDS PRODUCTS AND ARITHMETIC INTERSECTION THEORY 5 holomorphic Borcherds product has coprime integral Fourier coefficients. Hence, by the q … WebSep 1, 2024 · The Borcherds lift Ψ N of ϕ N is then a (meromorphic) Borcherds product of weight 1/2. By a theorem of Bruinier ([3], Theorem 1.3) Ψ N is a quotient of two holomorphic Borcherds products; one of these is of half-integral weight. (Note that Borcherds products necessarily have either integral or half-integral weight by their definition.) Step 2.
WebThe Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields.. The Fields Medal is regarded as one of the highest … WebApr 1, 2012 · We recast this result using the Borcherds–Harvey–Moore singular theta-lift and show that the vector-valued functions attached to completely replicable modular functions with integer coefficients lift to automorphic functions with infinite product expansions at all cusps. ... Borcherds products." Duke Math. J. 161 (5) 893 - 950, 1 …
WebJun 10, 2005 · With such an isomorphism, Bruinier[5]proved a converse theorem for Borcherds' lift, Bruinier and Yang [4] constructed twisted Borcherds products, Rouse[16]and Choi[8]proved the Zagier duality for ... WebApr 1, 2012 · We recast this result using the Borcherds–Harvey–Moore singular theta-lift and show that the vector-valued functions attached to completely replicable modular …
WebIn [2, 3], Borcherds constructs a multiplicative lifting taking weakly holomorphic modular forms to automorphic forms on orthogonal groups of signature \((2,b)\).These …
WebAbstracts. J. Bruinier. Borcherds products and Green functions. This lecture gives an introduction to the theory of Borcherds products on Shimura varieties of type $\ … alliant sport pistol powder load dataWebJun 4, 2009 · La fonction [Phi]12 de Borcherds, forme modulaire en 26 variables pour le groupe orthogonal O+(II2,26) et le caractere determinant, de poids singulier 12, a ete construite par R.E.Borcherds en 1994 avec la theorie des produits automorphes. Elle determine la “Fake Monster Lie Algebra”, qui joue le role fondamental dans la preuve de … alliant sport pistolWebBorcherds products learning seminar Working syllabus Winter 2016 Speakers are encouraged to write up their talks. These will be put on the webpage. 1. Broad goals (1)Cover ideas of [Br], skipping gory calculations. (1+8 lectures) (2) Discuss Kudla{Millson theory and its relation to Borcherds products [BF]. (2+3 lectures) 2. Suggested lectures … alliant sport pistol powder reloading dataalliant sport pistol powder dataWebApr 12, 2024 · Posted by Tom Leinster. Magnitude homology has been discussed extensively on this blog and definitely needs no introduction. A lot of questions about magnitude homology have been answered and a number of possible application have been explored up to this point, but magnitude homology was never exploited for the structure … alliant staffingWebBorcherds products learning seminar Applications to Algebraic Geometry Lecture 8 Igor Dolgachev March 28, 2016 1. The Leech lattice A Leech lattice is a de nite (we assume it is negative de nite) even unimodular lattice of rank 24 with no vectors of norm 2. There are 24 isomorphism classes of even unimodular alliant steel powder for sale canadaWebJan 1, 2010 · In Brunier and Bundschuh, “On Borcherds Products Associated with Lattices of Prime Discriminant.” Ramanujan Journal 7 (2003), 49–61, the authors use Borcherds lifts to obtain Hilbert modular ... alliant steel powder load data