The Ivy League announced on Thursday night that all winter sports have been canceled for 2021, and that spring sports have been "postponed through at least the end of February 2021."
The announcement is the result of a unanimous decision by the Ivy League Presidents. "Regrettably, the current trends regarding transmission of the COVID-19 virus and subsequent protocols that must be put in place are impeding our strong desire to return to intercollegiate athletics competition in a safe manner," the statement said in part; see the full statement here.
Practices and training will be permitted for enrolled students "provided they are structured in accordance with each institution's procedures and applicable state and local regulations." Applicable procedures do vary between the Ivy universities at present.
On the topic of eligibility, the Ivy statement said "Winter and fall sport student-athletes will not lose a season of Ivy League or NCAA eligibility, whether or not they enroll. Students who wish to pursue competition during a fifth-year of undergraduate education at their home institution, if permitted, or as a graduate student elsewhere will need to work with their institutions in accordance with campus policy to determine their options beyond their current anticipated graduation date."
The announcement also said that fall 2020 sports would not be contested in the spring.