Borcherds product

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WebOur 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 … WebBorcherds 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 …

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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 … WebSep 26, 2024 · In 1998, Borcherds [] created a remarkable method for constructing meromorphic modular forms on orthogonal groups of signature (2, n) from weakly holomorphic modular forms, and he showed that the Fourier expansions of such meromorphic modular forms at cusps have incredibly beautiful product representations … enfield products

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WebBorcherds products and their applications to arithmetic geometry May 3-10, 2009 ... The workshop is dedicated to Borcherds' theory concerning a singular theta lift from weakly holomorphic elliptic modular forms to automorphic forms on orthogonal groups which are forms of SO(2, n), and its applications and generalizations. A series of lectures ... WebApr 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 … 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 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 … dr. douglas phelan do bedford nh

Borcherds Products on O(2,l) and Chern Classes of Heegner …

MATHIEU MOONSHINE AND BORCHERDS PRODUCTS

WebarXiv: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 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 enfield property licenceWebApr 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 … dr douglas perryman kansas city mo

"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 " - Borcherds product

Borcherds product

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. WebZvi Rosen Algebraic Geometry Notes Richard Borcherds g(x;y) = 0, you deform both until each is a product of linear factors. Assuming that these lines are nonparallel and …

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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 …

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 … WebREAL QUADRATIC BORCHERDS PRODUCTS 5 which is biquadratic when p6= 2 , and may be viewed as a suitable p-adic analogue of C in the setting of this paper. Every z2P 1(C p) can be represented in projective coordinates by a pair [z 1:z 2] where (z 1;z 2) belongs to the set (O Cp O Cp) 0of primitive vectors having at least one coordinate in O Cp. If

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 … 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 …

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 …

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 dr. douglas packer at mayo clinicWebMar 23, 2024 · Theta functions. Borcherds products. 1. Introduction. Infinite products appear in many places in number theory and combinatorics, for instance in the Euler … dr douglas petraco east setauketWebthe 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 … dr douglas phillips meridian msWebAbstracts. J. Bruinier. Borcherds products and Green functions. This lecture gives an introduction to the theory of Borcherds products on Shimura varieties of type $\ … dr douglas pleskow beth israelWebOct 16, 2024 · Borcherds products are explained as solutions of a multiplicative Cousin problem, namely of finding a meromorphic functions with divisor supported on the … enfield property recordsWebJun 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 … enfield property pricesWebThese "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 ... dr douglas peterson tucson az