Web† The associated Shimura varieties † Special cycles † The special cases of signature (1,2), (2,2) 2. Theta liftings of holomorphic and weakly holomorphic modular forms † Siegel … WebTheta lifts and currents on Shimura varieties Lecture 9 Speaker: Luis Garcia Notes by: Charlotte Chan March 25, 2016 This is a write-up of a very nice talk given by Luis …
Chern classes of Heegner divisors - Massachusetts …
WebApr 11, 2024 · Charles Borchers Elementary School, in conjunction with parents and the community, is committed to the development of the whole child in a nurturing … WebNov 29, 2015 · Using the regularization of Borcherds' lift we extend the Shimura lift to take weakly holomorphic modular forms of half-integral weight to meromorphic modular forms of even integral weight having poles at CM points. Comments: 24 pages, exposition slightly modified after Equation (2), and a small typo corrected in the proof of the last … highgrove house hotel troon ayrshire
MODULARITY OF GENERATING SERIES OF DIVISORS ON …
WebDec 4, 2024 · Borcherds’ work systematically uses vector-valued modular forms, and employs the regularization technique in [ 11] to lift weakly holomorphic modular forms. … WebΨ(z,f) has a beautiful product representation called Borcherds product for its Fourier expansion near a cusp of the orthogonal Shimura variety. One of the most famous Borcherds lifts is the difference j(τ1) − j(τ2) of the well known Klein’s modular j-invariant as a modular function for SL2(Z)×SL2(Z), which is a Borcherds lift of type ... WebOct 9, 2012 · We also derive a formula for the values taken by the Borcherds products at cusps of the symmetric domain of the unitary group. Further, as an application of the lifting, we obtain a modularity result for a generating series with Heegner divisors as coefficients, along the lines of Borcherds’ generalization of the Gross-Zagier-Kohnen theorem. how i met your mother price is right episode