The meeting #216 will be held on
April 1 at 18:00 (Omsk time), 19:00 (Novosibirsk time), 07:00 (New York time), 15:00 (Moscow time).
Josenildo Sim玫es da Silva (Federal University of Rio Grande Do Norte, Brazil)will present his talk
"Geometrical Equivalence and Action Type Geometrical Equivalence of Group Representations".
The universal algebraic geometry of group representations was considered in: B. Plotkin, A. Tsurkov, 鈥淎ction type geometrical equivalence of group representations鈥�, Algebra and discrete mathematics, 4: (2005), 48-79. The concepts of geometrical equivalence and action type geometrical equivalence of group representations were defined. It was proved that if two representations are geometrically equivalent then they are action type geometrically equivalent. Also it was remarked that if two representations (V鈧�,G鈧�) and (V鈧�,G鈧�) are action type geometrically equivalent and groups G鈧� and G鈧� are geometrically equivalent, the representations (V鈧�,G鈧�) and (V鈧�,G鈧�) are not necessarily geometrically equivalent. However some specific counterexample was not presented. In this talk we fill the gap and construct the example of two representations (V鈧�,G鈧�) and (V鈧�,G鈧�) which are action type geometrically equivalent and groups G鈧� and G鈧� are geometrically equivalent, but the representations (V鈧�,G鈧�) and (V鈧�,G鈧�) are not geometrically equivalent.
You can connect to the Zoom conference via this link: or manually in the Zoom app using the conference ID 812 2079 3393.
Please pay attention to the following rules for conducting an Internet seminar:
- Please, use your real first and last name
- Keep your microphone off during the talk
- Should you have any questions, ask them in the chat
