<div dir="ltr"><div><br></div><div>Degerli liste uyeleri, </div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">Lenny Fukshansky (Claremont McKenna College) 8 Haziran Carsamba gunu Sabanci Universitesi'nde seminer verecektir. Asagida detaylarini bulacaginiz etkinlige katiliminiz bizi mutlu edecektir.</div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">iyi gunler dilegiyle</div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">canan kasikci</div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif">Ulasim icin: <div><a href="http://www.sabanciuniv.edu/en/transportation/shuttle-hours" target="_blank">http://www.sabanciuniv.edu/en/transportation/shuttle-hours</a> </div></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><strong><br></strong></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><strong>............................................</strong></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><b>Title: </b><b>Well-rounded lattices from algebraic constructions</b><b></b><i></i><u></u><strike></strike><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><strong>Date/Time/Place: 8 June, 14:30, FENS 2008</strong></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><br></div><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><b>Abstract: </b><span style="font-size:12.8px">Well-rounded lattices are vital in extremal lattice theory, since the classical optimization problems can usually be reduced to them. On the other hand, many of the important constructions of Euclidean lattices with good properties come from different algebraic settings. This prompts a natural question: which of the lattices coming from algebraic constructions are well-rounded? We consider three such constructions: ideal lattices from number fields, lattices from finite abelian groups and function fields, and cyclic lattices from quotient polynomial rings. In each of these cases, we provide a partial answer to the above question, as well as discuss some generalizations, applications, and directions for future research.</span></div></div>