Singularities of secant varieties
SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY
When: September 9, 2025
						
																			
											3:00 pm - 4:00 pm										
																								
								
										Where: Science Center 507																					
																		
										
								
												Address:
													1 Oxford Street, Cambridge, MA 02138, United States											
																			
																				Speaker: Debaditya Raychadhury (Univ. of Arizona)																	
		
								Secant varieties are classical objects in algebraic geometry. Given a smooth projective variety inside a projective space, its secant variety is by definition the closure of the union of secant lines. It is almost always singular and sits inside the same projective space by its construction. In this talk, we will discuss the singularities of secant varieties when the embedding is sufficiently positive. In particular, we will study the Du Bois complex of secant varieties and will also discuss about its local cohomology modules. The results are obtained in various collaborations with Q. Chen, B. Dirks, S. Olano and L. Song.
