PPT-Two Projects Using Lattices, Modular Forms,

String Theory amp K3 Surfaces Gregory Moore August 31 2016 SCGP Workshop Automorphic forms mock modular forms and string theory Desperately Seeking Moonshine a project with Jeff Harvey Part I. 6405 provides different installation options on adjustable feet or ss castors when in 465636 The extensive range of models allows you to best utilise space by either placing units in a single line or back to back can also be combined with Domina 9 However computational aspects of lattices were not investigated much until the early 1980s when they were successfully employed for breaking several proposed cryptosystems among many other applications It was not until the late 1990s that lattices w Can We Solve Ideal Lattice Problems Efficiently?. Craig Gentry. IBM T.J. Watson. Workshop on Lattices with Symmetry. Can we efficiently break lattices with certain types of symmetry?. If a lattice has an orthonormal basis, can we find it?. Minkowski’s. Theorem. Chapter 2. Preface. A lattice point is a point in R. d . with integer coordinates.. Later we will talk about general lattice point.. Lattice Point. Let C ⊆ R. d. be symmetric around the origin, convex, bounded and suppose that volume(C)>2. China Summer School on Lattices and Cryptography, June 2014. Starting Point: Linear Equations. Easy to solve a linear system of equations. Given . A. , . b. , find . s. S. olved using Gaussian elimination, Cramer rule, etc.. q1Yn=1(1qn)24=1 q+744+196884q+:::=:Xc(n)qn:ThisisthefunctionknownasKlein'smodularinvariant(or,inaslightlydierentcontext,assimplythej-invariant).Itisameromorphicmodularfunctionofweightzero,andistheun . RETHINK CONSTRUCTION. CONVENTIONAL “WISDOM”. CONVENTIONAL CONSTRUCTION:. Over Budget. Time Delays. Unsafe Jobsites. Materials Waste. Inconsistent Quality. Unpredictable Workforce. Days of Rework. Neil Conway. UC Berkeley. Joint work with:. Peter Alvaro, Peter . Bailis. ,. David Maier, Bill Marczak,. Joe Hellerstein, . Sriram. . Srinivasan. Basho Chats #004. June 27, 2012. Programming. Distributed Programming. the . productivity of . the construction industry:. 1. Widespread deployment . of Building . Information Modeling (BIM).  . 2. Improved job-site efficiency.  . 3. Greater use of prefabrication, preassembly, modularization, and off-site fabrication techniques.. China Summer School on Lattices and Cryptography, June 2014. Starting Point: Linear Equations. Easy to solve a linear system of equations. Given . A. , . b. , find . s. S. olved using Gaussian elimination, Cramer rule, etc.. String Theory & K3 Surfaces. Herstmonceaux. Castle, June 23, 2016. Gregory Moore. Desperately Seeking Moonshine. a project with Jeff Harvey. Part I. s. till in progress…. Part II . Time permitting ……. Dave . Rotheroe. Distinguished . Technologist and Strategist, HP . IT. Jake Ring. GM Structured Systems, GE Critical Power. Agenda. Container Data Center Market. HP IT Considerations. Modular Components Overview. 1920 E Encanto Drive Tempe, AZ 85281www.unitedmetal.com lineof Units offer a high quality,a series of standard featurestypicallyfound on higher quality, Very quiet operation thanks to Low profile de . Rob Coyle, Director, PCX Corporation. DCF/MDC. Discussion Mission. Goals of the Group (charter). Current Status of MDC Group – Recent Submissions. Goals of this Discussion. Questions to prompt discussion.