We welcome all undergraduate\/graduate students and faculty to attend the Topology Seminar!<\/p>\n
Speaker:<\/strong> Claudio Gomez-Gonzales (Carleton College – UC Irvine)<\/p>\n Title:<\/strong> How hard could it be? A tour of resolvent degree<\/p>\n Abstract:<\/b> Solving algebraic equations are among the oldest problems in mathematics. In this talk, we offer a concrete, visual, and historical introduction to resolvent degree (RD), an invariant that aspires to quantify just how hard these problems are. The lineage of this theory includes the origins of topology, Klein\u2019s \u201chypergalois\u201d program, and centuries-old exploits in reducing numbers of coefficients, which dare us to push beyond the solvable\/unsolvable dichotomy. We will build towards the notion of versality central to Klein\u2019s vision, with a nod to our general framework implemented in joint work with Alexander Sutherland and Jesse Wolfson, that permits us to address resolvent questions via classical invariant theory. We will conclude by reflecting on the past and future of resolvent problems, along with what we do and don’t know about RD. This talk is designed to be accessible for undergraduates\u2014let\u2019s do some math!<\/p>\n","protected":false},"excerpt":{"rendered":" We welcome all undergraduate\/graduate students and faculty to attend the Topology Seminar! Speaker: Claudio Gomez-Gonzales (Carleton College – UC Irvine) Title: How hard could it be? A tour of resolvent […]<\/p>\n","protected":false},"author":234,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[17],"class_list":["post-3553","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-topology-seminar","cat_topology-seminar"],"acf":[],"yoast_head":"\n