BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//jEvents 2.0 for Joomla//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:STANDARD
DTSTART:20220212T140000
RDATE:20220313T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20221106T010000
RDATE:20230312T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20231105T010000
RDATE:20240310T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20241103T010000
RDATE:20250309T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20251102T010000
RDATE:20260308T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20261101T010000
RDATE:20270314T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20271107T010000
RDATE:20280312T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:STANDARD
DTSTART:20281105T010000
RDATE:20290311T030000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:America/New_York EST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20220313T030000
RDATE:20221106T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20230312T030000
RDATE:20231105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20240310T030000
RDATE:20241103T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20250309T030000
RDATE:20251102T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20260308T030000
RDATE:20261101T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20270314T030000
RDATE:20271107T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
BEGIN:DAYLIGHT
DTSTART:20280312T030000
RDATE:20281105T010000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:America/New_York EDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:2294a012e33c52450e1121e8eb134823
CATEGORIES:Discrete Math
CREATED:20230213T131801
SUMMARY:Unit and distinct distances in typical norms 
LOCATION:Hill Center Room 705
DESCRIPTION:<p style="margin: 0in;"><strong>Abstract</strong>: Erd?s' unit distance pro
 blem and Erd?s' distinct distances problem are among the most classical and
  well-known open problems in all of discrete mathematics. They ask for the 
 maximum number of unit distances, or the minimum number of distinct distanc
 es, respectively, determined by n points in the Euclidean plane. The questi
 on of what happens in these problems if one considers normed spaces other t
 han Euclidean space has been raised in the 1980s by Ulam and Erd?s and attr
 acted a lot of attention over the years. We give an essentially tight answe
 r to both questions for almost all norms on R^d, in a certain Baire categor
 ic sense.</p><p style="margin: 0in;">Our results settle, in a strong and so
 mewhat surprising form, problems and conjectures of Brass, of Matousek, and
  of Brass--Moser--Pach. The proofs combine combinatorial, probabilistic and
  geometric ideas with tools from Linear Algebra, Topology and Algebraic Geo
 metry.</p><p><br> Joint work with: Noga Alon and Lisa Sauermann.</p>
CONTACT:Matija Bucic (Princeton/IAS)
DTSTAMP:20260830T220913
DTSTART;TZID=America/New_York:20230213T140000
DTEND;TZID=America/New_York:20230213T150000
SEQUENCE:0
TRANSP:OPAQUE
END:VEVENT
END:VCALENDAR