Les Grandes Conférences du CRM
français
Abstract It is widely-known that intuition is the core of mathematician's activities. However, faced with certain problems, intuition can be misleading. The solution is often well hidden, and intuition not only does not always lead to it, it can even make it more remote. With selected examples in geometry, in probability theory and number theory, we will point out some pitfalls mathematicans should watch out for. This will be illustrated by presenting two conjectures, each totally plausible, and establishing that at least one of them must be false. Biography Jean-Marie De Koninck is professor at the Département de mathématiques et de statistique of the Université Laval since 1972. Author of five books and approximately fifty scientific research papers, he hosted and did research on 29 episodes of the TV series "C'est mathématique!" (2000, 2001) broadcasted on Canal Z, Canal Savoir and TFO. |