2024 Borcherds product

Borcherds product

Author: unqc

August undefined, 2024

WebOct 14, 2003 · Download a PDF of the paper titled Borcherds products and arithmetic intersection theory on Hilbert modular surfaces, by Jan H. Bruinier and 2 other authors … WebJun 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 …

arXiv:math/0404427v1 [math.NT] 23 Apr 2004

WebBorcherds products Wednesdays from 9:15 to 10:45, INF 368, room 2481 The goal of the seminar is to understand the fundamental work of R. Borcherds on inﬁnite product expansions of holomorphic automorphic forms on certain orthogonal groups (resp. on Grassmannians). Probably the most prominent and well known example of product … WebIn [2, 3], Borcherds constructs a multiplicative lifting taking weakly holomorphic modular forms to automorphic forms on orthogonal groups of signature $(2,b)$.These automorphic forms have infinite product expansions as so called Borcherds products and take their zeros and poles along certain arithmetic divisors, known as Heegner divisors. pakistan recent news

April 2024 Archives The n-Category Café

WebA CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON - Volume 240. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings. 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 … Webhere, as for instance certain Eisenstein series or the j-function, most of these product expansions were only discovered rather recently by R. Borcherds [Bo1, Bo4]. We will then consider more systematically the properties of Borcherds products on Hilbert modular surfaces. They can be used to recover important classical results on the pakistan recent matches

Borcherds Products Everywhere Request PDF - ResearchGate

Liftings and Borcherds Products SpringerLink

WebJan 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 ... Web5. Borcherds products 37 6. Integral models 52 7. Normality and ﬂatness 72 8. Integral theory of q-expansions 84 9. Borcherds products on integral models 94 References … summary of state of terror bookWebOur products allow for a higher solids content with lower viscosity, which increases the ease of application and decreases permeation. Our high-performance catalysts improve through cure at the substrate compared … summary of stanley milgram experiment

"WebThe Borchers family name was found in the USA, the UK, Canada, and Scotland between 1840 and 1920. The most Borchers families were found in USA in 1920. In 1840 there … " - Borcherds product

Borcherds product

WebThese "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic ... 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 …

Did you know?

Webthe moonshine conjecture for the Conway group proposed by Borcherds [2,3] and Scheithauer [35,36]: all twists of the denominator identity of the fake monster Lie algebra by elements of Conway’s group Co 0 are the Fourier expansions of Borcherds products of singular weight on certain symmetric domains of type IV. It is well known that Sp WebMar 1, 2015 · All these Borcherds Products are made by starting from certain special Jacobi forms that are theta blocks without theta denominator. Theorem 1.1 gives a rather …

WebBORCHERDS PRODUCTS GYUJIN OH 1. Basic theory (Bruinier’s book) Here we give a crash course on the Borcherds products 8 <: Weakly holomorphic modular forms of … WebThe Borcherds family name was found in the UK in 1891. In 1891 there was 1 Borcherds family living in Norfolk. This was 100% of all the recorded Borcherds's in United …

WebJul 20, 2024 · Quasi-pullback of Borcherds products is an operation of renormalized restriction. It produces a meromorphic modular form on a lower dimensional symmetric domain which is again a Borcherds product. WebBorcherds 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

WebNov 23, 2024 · In particular, $G(\vartheta _R)$ is a Borcherds product. It turns out that this Borcherds product already appears in the work of Scheithauer [15, 17] and its expansion at a level 1 cusp is a twisted denominator identity of the fake monster algebra corresponding to an element g in Conway’s group ${\text {Co}}_0$.The theorem is proved by showing …

Web\Borcherds products" or the \Borcherds lift" is a method for constructing modular forms on the orthogonal groups SO+(2;n ). More precisely, we get a map 8 <: weaklyholomorphic modularforms onSL 2(Z) withcoefficientsinZ 9 =;! ˆ meromorphicmodular formsonO+(2;n) … summary of stargirl bookWebApr 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 … pakistan reciprocityWebMar 1, 2015 · All these Borcherds Products are made by starting from certain special Jacobi forms that are theta blocks without theta denominator. Theorem 1.1 gives a rather unexpected and surprising way to construct holomorphic Borcherds Products starting from theta blocks of positive weight. As it is rather easy to search for theta blocks, we call this … summary of start with whyWebBORCHERDS PRODUCTS AND ARITHMETIC INTERSECTION THEORY 5 holomorphic Borcherds product has coprime integral Fourier coefﬁcients. Hence, by the q … summary of state of unionWebDec 21, 2013 · The ‘Borcherds products everywhere’ construction [Gritsenko et al. , ‘Borcherds products everywhere’, J. Number Theory148 (2015), 164–195] creates paramodular Borcherds products from ... pakistan records 52 new covid-19 casesWebApr 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 … summary of state of union speechWebarXiv:math/0404427v1 [math.NT] 23 Apr 2004 INFINITE PRODUCTS IN NUMBER THEORY AND GEOMETRY JAN HENDRIK BRUINIER Abstract. We give an introduction to the theory of Borcherds produc summary of station 11