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UID:bb876c146b5e2de282839789ddd347ae
CATEGORIES:Number Theory Seminar
CREATED:20251106T183431
SUMMARY:Representations of binary by quaternary quadratic forms
LOCATION:HLL 525
DESCRIPTION:<p data-olk-copy-source="MessageBody" style="color: #242424; font-family: '
 Segoe UI', 'Segoe UI Web (West European)', -apple-system, 'system-ui', Robo
 to, 'Helvetica Neue', sans-serif; font-size: 15px; font-style: normal; font
 -weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-i
 ndent: 0px; text-transform: none; widows: 2; word-spacing: 0px; white-space
 : normal; background-color: #ffffff;">Abstract: Let $q,Q$ be two integral q
 uadratic forms in $m &lt; n$ variables. One can ask when $q$ can be represe
 nted by $Q$ - that is, whether there exists an $n times m$-integer matrix $
 T$ such that $Q circ T = q$. Naturally, a necessary condition is that such 
 a representation exists locally, meaning over the real numbers and modulo $
 N$ for every positive integer $N$. In the absence of local obstructions, do
 es a (global) representation of $q$ by $Q$ exist?</p>
CONTACT:Andreas Wieser
DTSTAMP:20260829T164804
DTSTART;TZID=America/New_York:20251111T140000
DTEND;TZID=America/New_York:20251111T150000
SEQUENCE:0
TRANSP:OPAQUE
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