BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250811T190013EDT-2346PeW6en@132.216.98.100 DTSTAMP:20250811T230013Z DESCRIPTION:Hot spots conjecture for Euclidean triangles.\n\nThe hot spots conjecture was made by J. Rauch at a conference in 1974. One of the (many) versions of the conjecture says the following. Let D be a domain in a Euc lidean space with piece-wise smooth boundary. Then a second Neumann eigenf unction u for D can not attain its global maximum at an interior point of D. The conjecture is known to be false for domains with holes. Positive re sults are known in many situations due works of K. Burdzy and his collabor ators\, D. Jerison-N. Nadirashvilli and many others. This talk will be foc used on the hot spot conjecture for Euclidean triangles. Obtuse triangles known to satisfy the conjecture\, due to works of Burdzy-Banuelos. A class of acute triangles also known to satisfy the conjecture\, due to works of Miyamoto and Siudeja. In this talk I will try to explain a proof of the c onjecture for all Euclidean triangles. This a joint work with Chris Judge. \n DTSTART:20180423T173000Z DTEND:20180423T183000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Sugata Mondal\, Indiana University URL:/mathstat/channels/event/sugata-mondal-indiana-uni versity-286737 END:VEVENT END:VCALENDAR